{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multivariate stochastic differential equations with `Bridge`\n",
    "\n",
    "This `IJulia` script gives a tour for my package `Bridge` with focus on multivariate stochastic differential equations. I use `Makie.jl` for the visualisations. \n",
    "\n",
    "## Installation\n",
    "\n",
    "To run this `IJulia` script install Bridge and checkout the master branch to run."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Pkg.add(\"Bridge\")\n",
    "# Pkg.checkout(\"Bridge\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The installation of `Makie` is a bit tricky and is detailed in the `README.md` file of `Makie`.\n",
    "\n",
    "## Setting the scene\n",
    "\n",
    "The next few lines load the needed packages and some scripts."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div id=\"interact-js-shim\">\n",
       "    <script charset=\"utf-8\">\n",
       "(function (IPython, $, _, MathJax) {\n",
       "    $.event.special.destroyed = {\n",
       "\tremove: function(o) {\n",
       "\t    if (o.handler) {\n",
       "\t\to.handler.apply(this, arguments)\n",
       "\t    }\n",
       "\t}\n",
       "    }\n",
       "\n",
       "    var OutputArea = IPython.version >= \"4.0.0\" ? require(\"notebook/js/outputarea\").OutputArea : IPython.OutputArea;\n",
       "\n",
       "    var redrawValue = function (container, type, val) {\n",
       "\tvar selector = $(\"<div/>\");\n",
       "\tvar oa = new OutputArea(_.extend(selector, {\n",
       "\t    selector: selector,\n",
       "\t    prompt_area: true,\n",
       "\t    events: IPython.events,\n",
       "\t    keyboard_manager: IPython.keyboard_manager\n",
       "\t})); // Hack to work with IPython 2.1.0\n",
       "\n",
       "\tswitch (type) {\n",
       "\tcase \"image/png\":\n",
       "            var _src = 'data:' + type + ';base64,' + val;\n",
       "\t    $(container).find(\"img\").attr('src', _src);\n",
       "\t    break;\n",
       "\tcase \"text/latex\":\n",
       "\t\tif (MathJax){\n",
       "\t\t\tvar math = MathJax.Hub.getAllJax(container)[0];\n",
       "\t\t\tMathJax.Hub.Queue([\"Text\", math, val.replace(/^\\${1,2}|\\${1,2}$/g, '')]);\n",
       "\t\t\tbreak;\n",
       "\t\t}\n",
       "\tdefault:\n",
       "\t    var toinsert = OutputArea.append_map[type].apply(\n",
       "\t\toa, [val, {}, selector]\n",
       "\t    );\n",
       "\t    $(container).empty().append(toinsert.contents());\n",
       "\t    selector.remove();\n",
       "\t}\n",
       "    }\n",
       "\n",
       "\n",
       "    $(document).ready(function() {\n",
       "\tfunction initComm(evt, data) {\n",
       "\t    var comm_manager = data.kernel.comm_manager;\n",
       "        //_.extend(comm_manager.targets, require(\"widgets/js/widget\"))\n",
       "\t    comm_manager.register_target(\"Signal\", function (comm) {\n",
       "            comm.on_msg(function (msg) {\n",
       "                var val = msg.content.data.value;\n",
       "                $(\".signal-\" + comm.comm_id).each(function() {\n",
       "                var type = $(this).data(\"type\");\n",
       "                if (typeof(val[type]) !== \"undefined\" && val[type] !== null) {\n",
       "                    redrawValue(this, type, val[type], type);\n",
       "                }\n",
       "                });\n",
       "                delete val;\n",
       "                delete msg.content.data.value;\n",
       "            });\n",
       "\t    });\n",
       "\n",
       "\t    // coordingate with Comm and redraw Signals\n",
       "\t    // XXX: Test using Reactive here to improve performance\n",
       "\t    $([IPython.events]).on(\n",
       "\t\t'output_appended.OutputArea', function (event, type, value, md, toinsert) {\n",
       "\t\t    if (md && md.reactive) {\n",
       "                // console.log(md.comm_id);\n",
       "                toinsert.addClass(\"signal-\" + md.comm_id);\n",
       "                toinsert.data(\"type\", type);\n",
       "                // Signal back indicating the mimetype required\n",
       "                var comm_manager = IPython.notebook.kernel.comm_manager;\n",
       "                var comm = comm_manager.comms[md.comm_id];\n",
       "                comm.then(function (c) {\n",
       "                    c.send({action: \"subscribe_mime\",\n",
       "                       mime: type});\n",
       "                    toinsert.bind(\"destroyed\", function() {\n",
       "                        c.send({action: \"unsubscribe_mime\",\n",
       "                               mime: type});\n",
       "                    });\n",
       "                })\n",
       "\t\t    }\n",
       "\t    });\n",
       "\t}\n",
       "\n",
       "\ttry {\n",
       "\t    // try to initialize right away. otherwise, wait on the status_started event.\n",
       "\t    initComm(undefined, IPython.notebook);\n",
       "\t} catch (e) {\n",
       "\t    $([IPython.events]).on('kernel_created.Kernel kernel_created.Session', initComm);\n",
       "\t}\n",
       "    });\n",
       "})(IPython, jQuery, _, MathJax);\n",
       "</script>\n",
       "    <script>\n",
       "        window.interactLoadedFlag = true\n",
       "       $(\"#interact-js-shim\").bind(\"destroyed\", function () {\n",
       "           if (window.interactLoadedFlag) {\n",
       "               console.warn(\"JavaScript required by Interact will be removed if you remove this cell or run using Interact more than once.\")\n",
       "           }\n",
       "       })\n",
       "       $([IPython.events]).on(\"kernel_starting.Kernel kernel_restarting.Kernel\", function () { window.interactLoadedFlag = false })\n",
       "   </script>\n",
       "</div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using Bridge, StaticArrays, Makie, Bridge.Models, Colors, GeometryTypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "include(\"../extra/makie.jl\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Some definitions. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "srand(5)\n",
    "sphere = Sphere(Point3f0(0,0,0), 1.0f0)\n",
    "circle = Sphere(Point2f0(0,0), 1.0f0)\n",
    "perspective = @SArray Float32[0.433 0.901 -0.0 1.952; -0.237 0.114 0.965 -20.43; 0.869 -0.418 0.263 -90.271; 0.0 0.0 0.0 1.0];"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Time\n",
    "\n",
    "`Bridge` mostly works with fix time grid methods. To get started, define a grid of time points `tt` say in the interval `[0, 5]` on which you want to simulate the process."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "T = 5.00\n",
    "n = 10001 # total length\n",
    "dt = T/(n - 1)\n",
    "tt = 0.0:dt:T\n",
    ";"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Space\n",
    "\n",
    "`Bridge` interacts nicely with `StaticArrays`. We use `SVector{3,Float64}` for points in 3d space.\n",
    "In `Bridge.Models` the alias `ℝ{3} == SVector{3,Float64}` is defined. Because I often use MCMC methods and have to sample thousands of solutions, I try to make sure the functions are fast and have minimal overhead. Using `SVector`s helps alot.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVector{3,Float64}"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ℝ{3}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3D Wiener process or Brownian motion\n",
    "\n",
    "`Bridge.jl` is a statistical toolbox for diffusion processes and stochastic differential equations.\n",
    "The simplest diffusion process is a Brownian motion. The distribution and concept of a Brownian motion is represented by the object `Wiener{T}()` where `T` is the value type. As long as `randn(T)` is defined, `Wiener{T}()` can be sampled. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Bridge.Wiener{Complex{Float64}}()"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Wiener{Float64}()\n",
    "Wiener{Complex{Float64}}()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But now for 3d Brownian motion..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Bridge.Wiener{SVector{3,Float64}}()"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Wiener{ℝ{3}}()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use `sample` to exactly sample a 3d `Wiener` process on at the time points `tt`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Bridge.SamplePath{SVector{3,Float64}}([0.0, 0.0005, 0.001, 0.0015, 0.002, 0.0025, 0.003, 0.0035, 0.004, 0.0045  …  4.9955, 4.996, 4.9965, 4.997, 4.9975, 4.998, 4.9985, 4.999, 4.9995, 5.0], SVector{3,Float64}[[0.0, 0.0, 0.0], [0.0327429, 0.00583326, -0.00555515], [0.0581026, -0.0293756, -0.0256774], [0.045495, -0.0523616, -0.0271225], [0.0546075, -0.0207844, -0.0123186], [0.047648, -0.0185863, 0.0070987], [0.052417, -0.0398085, -0.0022569], [0.069798, -0.0385233, -0.0138994], [0.0959046, -0.0322122, 0.0603608], [0.0990595, -0.0609897, 0.0192606]  …  [-0.631677, -0.949839, -0.773298], [-0.640412, -0.972126, -0.75062], [-0.66116, -0.958156, -0.798044], [-0.698215, -0.926062, -0.784364], [-0.684498, -0.938696, -0.738218], [-0.714381, -0.926597, -0.75491], [-0.727137, -0.966003, -0.763791], [-0.77403, -0.978722, -0.755095], [-0.749953, -0.996518, -0.733079], [-0.754657, -1.0043, -0.721557]])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "W = sample(tt, Wiener{ℝ{3}}())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The function `sample` returns a `SamplePath` `X`.\n",
    "`SamplePath` is the time series object of `Bridge.jl`, basically a `struct` with a vector of time points `X.tt` and a vector of locations `X.yy`.\n",
    "\n",
    "The script `extra/makie.jl` defines a recipe for plotting `SamplePath`s with `Makie`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MRf74G598B7xgXknedAMzJZykmcVYss1iHPVH8mUCNJ/Todi21rWqoVdeYAeBQwdXQqzqweFeeAslriDteSGWnAxGk4USqBMe3zoEIaor18OZewe6gNeuvB0PRQR8XpNBB29xigJXFsY3n0pNxWIWpeKJcxd+a/PGFI4bZGt0hl4IgQ8RAURYvxCY3UMNX/3S04loDoJNAqFg6qIHy5SO7ZvoHHAtTAZIgt52c8+VDwDriQV6IhmRWGCyaTA1/8mXz9vcpqcOjZ0fWUyXCLxCb9SYRs4s965vcLaYnzs/1cxKEhFs4rznqrZp5MRCOJBav61VIvup+TPpjZSArgQV3Zv2Tn+9DeorTIVix+a9ZrViY7MbqPDQzHKJpORviS4NN9RBX5wzK/6rWwGQAg3MBYmEs9H4epdDxP/J2ijTNPwZrF9rtgqvVBGHOP26evvR+ZVd7c0SofBvj5ze0d44FY2a5PIqzXl0aHBnYyPc6sr1b/35tydPDdfV9dmsGlQV/q24oOOfGwHkEv7cUL3XheC1gVfY6Lb82u/fHAtlNHqF3qSaGln1L8eDvhR4cNNjq/FQ1t3lgJh6yJcCg4vkVhO5EinieKdCDMVcOrPkq5QrAu46ndGkVWzY2Q5Xnjm/FJJV+tc3x+O59ZvcG3d0uNwWg0VdLq3t6w1sdhcxQiwViSVCLo87549fnPdrNXKHDvzRtfYQ4M01GLR2nbrRqIOIEpyB1L8DU4tAInDN1eeA8HyPw6yUiK+cATn7yWXfxdUQtFDl8/iwM2jTqMBqgxicgM+Hyg0QUAcT7IlTF0A1WqfT7p2eh5LKUEvrubHpXS1NYSy/p829kEiBS/iNM+eOenwNOs1MLP7q7AL0BwP/NIvjhz1eSOWBkjVN+jXrDL0QAh8UAaTD+qCIve36hang8QNTDz6+DagK/uIf/9dLoERYt9U9cmalo9cBPuD54wu7buuTtOovrARk5YpJo3xxbB5i3BKxaM4X5UXxJEmYfLjerMVlXHmVr+PygYmUXSZ3tyMTypFCTjZb6u5zNtoNnfVmcMTgUxKR7IVj80qVdGU2VK1yG29qPXh5QaQQDrrsQFIESW/vbXrrKCEsdXzeu5rK3jPU1Wp539DSbCR+bNGbK5djWBEynKEsX5NRN+S0Q8Br//QiOIlAWNDgC5irXqtSSSTQI/rrZ8999fqd0HdnJBgpUkQAL4BfWYEs6EpVxOe3GPRWpbLFYLi5tQUYMFrIf+/yKLS0AHttLp6EJhf39XR1mX/alhUqQ4Cw660jR8cIgXcg8B52+zuuQG9/BgJtPXWf/I0dV9gKLnv8926qsJXmdjvsHp45PKfWyiBq3t5bp8jSnxjurpIVKZdn9ZGNfLlnJZbJFGJ8pirlFwziZBrjC7gSquoNpAZu6DBY1a9fnJ8t5AQasU4jPzfmOT+3uhxJ7Xv6PHwKyL42Xd85O7Ya9mfu+/XtuWJZr5Zr5JIJf2RmNfoOtvruqZGv7TuhlIiAaKCa6Ps9y1deOQSJgaBWB18S9hkf2ThwW08bMJ0/nQOqgqb229wNN3e5r2txDbscVrUKvMtvnDsfwHJgwUE4323Rk5xKmaTLLF0kyQqXEysU7SpVk053T1cHcJ+Iz3t9cXklnVmIJ/7h1JkQhq1zOBxq9XdHRq4OCdgKqp5ORWLLyfT/eOE16EQNOnv4efUCdIAQQC7hL7oGwC+7egtghR/+65HDr4xB1Anct7NH5vgC/o6be8Fb/NZfvWbUKvZ5fEVxdTKbUgmF1RLN8Dia+aK6WE07pUVBJcVSIocK51fmJ4PqOk1/e12Py9riMscDmTu2di/GUmePzs2dWTm5fxIUD+Nnlm0uPWw7TsWTWJE0quUKheTxG4ch/h30xJ964nD/1lbwLmfD8ceuG+qrt4JnF88WGs3vnTeTLBYhQg9hLEi1+Zu7dkM4DK4/7w3AdqHLoAW/TwFKrbeEpU56fE+OjoExNWCz75tdFAn59/d0n/B45XzRLa3u2UScV+W2G4wvzc722qxmxZr5+W8XLwWx/Eg4rBKLG/S6A4tLe+fm/mzXTrDFrgI4E01858Ll58anOy3mP3396P65xdVM7nr32wzGqxejg2sQAURYH+ak40USdgnNNi3sD/q9SRCFd/XXcbm8qRFvGad+98/vzs0nG1rM4jARKhS6REoqUqpawMni9zY5lFxBKYsbq0KFTsZXiqx1+unVaEe9OZkvXXh6ZO6sJ76cvDQH1fRKDEZAUH91MYalCyKF2Finc7tMELfSaeVQS08nl/oWoolwVmBXahTSOqHMZFABi4EHly6V//IbezWlakOb9R2P/ezINKhG8yRVIKihNRtK+TtP78+Wy49tGQL7CMJb77h+JhF/Y3kFpAzPTU8bZTIpX5TBy1OBKGwOpkolaMIKje43NdQH8th0LL7ZVR/O5xUiUTCH0ZXqZ4cG4sUiDHhXU9Ogw35lB/TK/aH+Mri9sEuwmEiCc62VSn9r20aTQv6OT0dvr1kEEGF9mFMPfAH6rJFzy6l4AVKIIbUmj5WBViwOHcipQI3FIdmLr0zmQlif1RTLlewSqUQsTOZxm13HBvJpmzhSJblZSicSbRlu8QSTc4uRaoHCVrOr87GySlAqk0wCL2dx0Jem44WGNhuFU8PrmufiaSgpo1PKjs94CgUimMB8qwmcXz15Zp7NEQtj/mQkd/bl8WChsJjKtBm07d3173hsiMqfXvFDF69Esfjp4T5OlXtgevGRzYMg7HrHlVfeQnAKCCtHEv1W261tbTe2NoE7uZrFgtmcRa2U8AS3dbaFi/nrW5rnIU5/4QKnUjUpFOAhTsfjjw0N3tPdeTkYgqDYZudPRpIrE+AMLiRTkDAULRRBegrhOegyfXtn2xW113sOA5281hBAhPVhzvg//q+XgUp4Qj5RIiFfB0TwrZ223XcOBr1Jo1n1/PfOzE0GyiUKHEaKYvbs7hEKBXSG4JSZLEtz5cJ6hTwOygcplxTwMG+GR1U3d7msNu3ZUmb99ral6YCM5PZ2OmC3EbQIje3Wzbu7pi77lieDHVuacyXc60uePjWLBfP+8dD8dGDCG+WqREKJCKyzo89fBklqrkSU5NwcxWwdbIaQ1lufHILrBEO/PrP4T/fdCiEqbzIDpfv2dLZAxZi3Xnb1GHb9rm9uem5yOk+RLTo9SK6gs06TXvvK7EKmiAu4fIJlYsXizubGuURiNZPlcrgQzl/NZsFe293aAtuI5wNB4KNbWlvBpALd/FgoAhUjem2WAQfoJ6ogpt/S5KzXatbVO67oy65+NDq4lhFAhPVhzv7LPzgL2YJ3PLSRYdhIMAPHqUShb7hp9JzHuxSD7b81iQB0UuZzQRgO2vN0AoMcPbtN52y3MmJes1mfDWPb2hsdRo2nUopXyDq16sHb1oErB7L4z+wc/J0/uaulyzF92VcqEv0bW7LpYn2TmTVI5lIpt9PS57a3N1pXsplMJP/AZ67Lc9jcxdDSpVWMx4o4XPPmukV9hZejkqniYjQllgp5HC6PqV6NwfXV2aA0zZ5ON4i6ji14C2USJO+ghJCJfxqkeytY//vEKbfRUKdWr2ZznxrohQjX3x07IxMKDHI5BNRAtqqVyLJE+Zw/QLIVSDnMlMrAYnDzuURyNByBSNan+vv++tCJgwvLd3S1B3N5aHsBrS7WkqsTqRvczdDGdcBhQ2z1VszRMSKsD20NgC4URFggW79wYv6R37qxrsGwpmm4tZcsU01tNq1eAeIspUYqFAmdTaZ8mQZZqc+XgmLo1gbDOSy5rauxu6Pu7Mjy44/tvBiOmkTSPU0NL4zM1kvkapH4wuiKtiJYv7X16195vrHNCvJ6kIA5XMaRKW+8hHcNuW7d2NlsNbTWmyPRrFQr4/K5OLfK82IZXxp0CaUmOV8jNec5LaS4WmZAWHDJExblyJYWK/iq3/7aa4NbW2H89XoN2G4vjs5dXg026HRnl1afPDNmVilsWtVbI+5XINvV1LijsWHMH4ak6K2Nrv2zC0cWPeAFA83d1dUBlf+Ai497fJ50Blw/2Docdta59XqQMmxtcILnCPnS/3PnNqgcPxmJPbxu4JzPv3d24SsHDgNJQaS/zWR49yd+aFOFblSzCLzNL6jZp/jlDRzHSQhU5XKl7/3LsXs+ueFH3z0FiYS9Ay6NTt7bVz+0paW12z523jM16rvn05vbe+v9nsTomcVUPK/UyJUaGWQXQlSrocUIceVMDoffdbdalgUEp1Aplsg/+/HhxjbTZDQhlQl/46aNMDcVpqpQS8MTwWZa4myzjVxYYWl2973rQPfwza++anFoU6eJBoOxHCn+6Q9e//tHbiWrbJLH1Nl0Zy8s4ydW8RIFG5cSlvubj970/e8eDSayxk1u8TxB4FSJpmkuR6NTwEhWF6J4ifziM/v29LrBdzs8vwy5gZOh+Kamuk6XJZwrnlr0NZh0IMt6K9AQOIe+FWBeKSQiEECcDvihIzR4dnKRqFGvg+j7UioFXiFE2RUiCOeTh5dWvnPvnQcWlmbiCY1ECqx0YH7JqJCD4P7hH/04WiiowNjj81ZSGYdG9QEr67x1XOj444wAsrA+2OzC1/vMyYVkouhbicOXXCQSJBIFiE9dt73tyo3gSwdiAoZkiTINGYJLM+Hl+UgJiuCRtN6gikWyMoVk1ZMC5whak2q0sh2fHd5/aUGYodU8UTydb+uuI1hWr5T6Etnv772Y8+UskP8sE8PnSuTi82eXJVo55B+moxj4hmAcBZdiFbWoc9C5d2F5FnYSqzRN0C5CeMv27s98+eZLx+Zy6QKcEVa43CxRp1TPhmP1EsVKpUxRbE+z3WnVTZ5faemuW1qM1DuNTx8bVXlKtlbzUjIFhRwcapUvnXl9djFeKt7S3frWzJ7ldBq2DsGtCxQwi1J5ORQOYtjRRU8ol/djuXS5PBYOj4dj8Ck4Q4GtBPuJsAvZYTbd0NIMHPfq7Dxou0ZD4ROeVbdRD0quQbs9kMuB28iw7Oc2DMHFH2xi0NXXBgKIsD7YPJMEEwpldt3QCaJy33JcoZREwtmOdltD808V22qt3O9JQnA94EuaHRowr1LJQoWt5jG8f1OLWq8ol8lCmZbJxDEdBxJrWnS6VpfZ3mFqNesleumENzLtj4GuXZSjb7qpr7PD0dphG9rY3NpuS/vTDzyyxVanb+93LkwEBQL+6PGFUpUNJ7B0rlhMl8QWhYKo0sFCLJge2OL2LaxxpUojD3piPL1snlsOqNhKCC9zqlKC7WtxgAYBGHZ4V0caK03NB7sZmcdYpYTcEkHaNGvlj6F5/fVtzdCz/o6+DnDxACxwMM/4/d8eGRXz+UBMPxibOOLxjEUiULCUU+G6NOrtzY2wMwj5Nzal8ss7tlwMhO0qRYfFDBJQaMwK/iM0mp6IRCHijpEk3A3EE5F8AYSmoHQHXoOyXJDEA4IGaIHxweYGXX0NIID+HftgkyxXiKE4QbFA2Ot1s1OhW+4eAM9ueSm2ZUe7UPRTMCmCPrx3HMJMN9w5EAlketc1NnfY8EI5CAky8YJarVhLuWNZdZqnJ2mZmEMpK7uGW51mrT+RDaYxsNF88YypSTuRiD81Mv3pnQP9TfaIP10qEN//+hvWev2uOwb2PXNBIOSDTcJEc4ttMptG3WhWOlVK32iAI5Fu6HDCg93/G7sgcJaJ5+1N5ktK0pDjinOsrsfSwBVyRPy+Xpet2XQl/dDeYi5fmr+u323ScsCtG2pwkBSbxApQp2FPd8vLE3PpIg7aURA9nPb7j614BVzO/qVFt94A9d81cimGEwyX3Wirg1rJw/WOU17f127ZPVRnB+V6tVL5/MZhyFj88muv75ubnwxHsgShFItBt1XhVjVSsYgnrHAq4XxBwOUa5TKgsEuB8JElz+1dHTe2NreZjOAnfrBJQld/fBG41i2sdLr4rW8eddTpVe9TC/TdUx+PYeCgWWyaY29Mj17wQuHzYomSy8SO+p+IyAtYGYpktXTa7n9s25kjsx0DzoA3AUGucCCTiOTA7GIotoQTBqM6l8WJEuWsN4SWE3ajBsosXFgM3rKurcGso5gKSKvyOAmbdLki0eow6Q1KKBzYNdQAYaxvfu018PXib6ZbQ1zMwghttzWraR4YfcIspXEbwVeFgPrL3znZOdjgaDRFisU7bl8vy1GpyyG+SqR0aFZnI50Ok9GlnwrGXp9YfPaJI1WL7GQuOh9JAj/EsRJUBIxjRYdWHckVPMn04aml0z7/Pt9SGsf9GAbMBaorCMyDfurujo4/3bUzjGHzoWSLSXdsyfvFrRvVEnEUKz47NQ0VskIZbCWZzpMEpBomSyWSZUDiAPuPFAuJTBVQtEI3VojKb3DW/eMdN8tFwkOLK2vJ0mUC5A6Hlz2BLAbdLoDj3j0X6My1hsC1TlhSqTASAiFAESZe/2YC83+6AmB3L5UqQEVQV5Npx+5uq10LUaocbPtBaCldBLb6l7/e29RuM5rUwFMQVpfJxUObW66/rR9qZoEbuBrOCqVCsEiKONnUaOrocSxOh6Ecgr1Ol+EySqmo02mpN2lnvFGorgeKpAe39V9Y8P/oyOiUJ7qtt+mZJ8+I5CIo2ADyJaAqqVQMmcYDG5ohafGg3ydhOKEi3uEwEmJuYDFa59Bfd2vf5ROLR87NMxFs5w09s6eWJTwe4VTYjJrAWa+s0/jC5WmCYXlyAaOAW/L6XXZw1KAwPOQDQtm/dc66AklAp5w/vXXXbCKxksnEy2VIY97tdpcZerhurQpFolhKl0rQuiKQzS3F0l0ms0Eph+O/OnQcRO3n/EEQMYCAPkOUwRyDyBdUARND7Rouhwa+elPODnYWxOn/6c5bIJh1eMkDm5j3DXYMWuv+YNdWEGRBJ55jK74dzY3/6dSgCz72CFzrhAV5IclE3uk0BgPwpSPN5p9WX3m/uQfXb9WbbHZboqHs4IYmZ6Nx8/a2fLYEZheBk8BZaqPy4MHpzi4HlL7atLMDDCIwylQaWTFfVhuUkWgOTxcpTpXH54NrGYnkmEqVL+RPLgSDKUyJV7t618TfR8aWwTc8O7sKJ5eDSXCpHEZ1T6Pt8IGpCsHyRbwXn73IZ6uuFnNwJT6vY2ajCTFPEKBLOENrdYpuk/HImXkIS519+lIwmMlQxO6tXSCGAAGX2207O7faPOxscZl4GkluIblcLlA0E8kUwAeslyqzLNXlsOxsbXpxYvbWLjcopHa0Ns3zR3a6m/fPe0EPCxt/n+juXkwmYUsR0g+hvug6o00hE41FYK+PTGKlL+zYYIZy90IBmGMXgiHYhhAI1uom393VCWVOtRIJpN3kKaLK5QBFliiy2WCwqRVA0D8YnTAoRJhuJCdeEqtKrcoms1w9WGdHbPV+q/FaO3+tExbM9+pqCiJTpSLIGytGkwoi2T97EYC35fMmYpEcGBdv7JuwO3TJBPbS0xfvfWhDZ289EBkwTl29voRTG7a6gRBBnJVJFcOrKaNV/X+fOEKSVHOHPRbKVRlWKhB09ThKeWJwY7O3Wo6xxOpIyGRQa42K8/P+bpcVwvBgg0TS+QGLOZ8snh/zpj2ZgC917NAMXqYUCrFMJkqkMUGWMeuURQ6zaahloMO5gGWXZiNzpXyOotLhHJkoaZsN9z2w+dKR2Q3Xd+55cGOTWHEo5NfyRK9cnllOZixWLYha81EMxuTN5qB9TpVX/fdz42a53K7TdNlNNIfKCxJHE+ekuvxNXXW7mzt8ybXC83ClRiiFmgrnvAF/KselOWIpp1CiXxqbXUjFb2pvgwxnHV/y1Zt2gd7iy9s2P9Tfe0tHK2RRg7tXoEjIsqxr9TsELY06HRAZmGwKJT0ner3MwxQCGVWhsjTWomwU8n4aHPzZU4P+9mOPwLVOWDTNnjg6V6lUmprNXd11kOb7flP+zScOrxtuAncJjAUwynQGBWwUjl5YefJbJ8+dWBRJBM1tNr1BASotuIPZog4F0k9+96ROr4RjSKA5c3T2E5/deur4HGwXggwCguV9fU6JVPg7f3J7S7v1R0+eKRN0TrQmhvi1h7bmaQjvVG8Zbi+GCzKxyKpRnjo2l8yUoGlNOlMKMriC5Nywvf2Ohzc526zpZCEWz4VEFMPjQe29r376JkGFpzKpIBd6fbdLqBSTNhloKKqZ8kOf3+VyW8FCNDt08hjZ1+28sBIKseVEodjnsiWLOGQ7gsizhSMbzSQhEN5mNT6+fejZ1IsJHAsQofWGzigZxZlyoZpJ8kG8hbmUljatMY4Xf23j+s9uGJyORBx1Qke9sK1B5aODf7L1llPLq+D9NRh1eoVsR9OaT/fE6fOJIj4ZiYIXzJFl5VwliFX97ILWUJIrSVIacMrsKqFiUNtNVWmIfw3pevnc952U95ssdP7jisC1TljPP3fJalU3NBpHLvt++O9nBoYawGZ5z8mORLIH9o5PTwWbWywQQfeuJHr6nRuva718bsVi0+ayJZNFdfHsCthfwGVgfAFPnTw276jX1TsNze02Z6NJqZZ979+O65TScBxr63I8/OhWk11z4vCs15PweZJsmeFIhRWNACy+NouhzGEh0O5Ziq9MhY+dnJPQXKtUplTLk0Ka4HNscrl7nStVKu8/PTOTzxS1gpJVvMvsWMrkz55f0Js0ZYqGdls4QV9nsaxrtE+eWwYqpNP42TemGtvtIEaNLCei4TRHJvRnMIhdQQQKCvTplPL71nVp8pxcqvDog70lg+elwNECW+Tyq4EokcaLGCdbz2+aKM7geUmqwGy3dE7GogaFHOwmSFHuqjdcTC/4yahOrARpKJuXADtvbKyH6swcHqfVaDjon9nd5swS1PGVVY0tqrdk8IK0QFINsvqbXMPHPZ4+h4mqUgky7VY05ehckS2vFFcHtO/RyOc95wid/NgjcI0S1jf+/nXgHWjXcPDAxNJiTKuXZzIlcAy3bW9/zylPJgupZPHokRl3q3X9hma5XAy0IpEIYW/x+pt7gK2W5iK33D0INWSgu6BvJQHxeHAtwdqCDhQGw1orB0jN+e3PfjeHlYY3NueLRCyGwSd6lxPZZJ6EmFC16moylrmVEoeBTMDRMZ9Oq+hpsf3gOyeX5qOf++z2qD8T8UPJP1yokxQZSmSULpXzOrtyAkvay/xMlZZrpRq5fPeWzjRDj62EoEDVb9973Q+++CzE1M69PpUvERJ4xpWkyarRW9QHn7swcW45vJK6+6HNp+a8BZYBd6zfYCwyzJbuBrPbmBZVLFLdg+07tpj6900uJZg4i0swSVgn0EeoOFmlSlwMrLGTS4lAtqSUieo0GpVM+GezTy4Wgxv07bEQ+0cbbnUZNK/PLN3Q0QwdoT2ZTJ6b+Ob00ZfmJ4KlyB199Xe1D2olylJGdZ29M8smN7hstzT3Zulshsp92f35ucJSCI8aJXqMzm8yrHvPSUEnr0EErlHCCoezU5PBLVtbIWwMnIJlcdjLs1m14Bi+YxHAnuDYyCpEaBoaTcBHRJmC+i3PPXUByrGDMXV4/+Tff3VvJJwBSbfVrlOCKF0mBv6CLT/wvMDvAyYCU+vKPc+fXeIJeAvTQbFc0tBkcrdZl+bC80txKFhqMirSGA6yyV1bOkqR/PoWh86gjPky8WgObDRQokL3CrxBKnEo2HiJkHNJYRVC35+/fn0HT+GdjWT5VZCwtmm1A3o95FR/+YGdr48uPTU60dbrhPZfKQMfz5XzLE2GCxqd8sk3LiXxsr7DfHrKg9GU3a6fTaboMuMpYCqllCvgP31+EkQJTWb9/7l0Os336mSaC5DzSICfmc/gJYhnsTzIT6qIZZTGUDCbGDKnm4olpktLebpIFHjtOnuFz3qzyQaN/v7BPpVU8kcHD51PjY0VprCUcQUrOxWO39uw41jy5Fxxvl/d643jFol5iXvWINbFyZSEJ6YhvFdh41TSKXc8VH83imG9Y01ey2+vUcJqbjGfPbMMKXUeTwLUmEcPzz7w0MZkMg9GllL5toIqYChhWBlC8s1uM2wOgufE5/NnZ0LDG1vy2aLZonngkc1HX5+WSESQ6NfeU3fu5AJkBXqWYn2DLlBLQEaO7c02hQtzkclRH4g/cbaKF8ug+YyGcsBu0PIBsguXPAmMz6zvdeksyrvuGtq9s3ugpx6YETYBoELx8GY3RJTsauVMKFGkaR5ZESklFR5nfiXqj2XIHPGp7f2DTsfceMjh0PLUEqVSEkhkofsptOqxqBQ4wzoNmlC5XGRp2PKDfhZuq+F8IcHmqRv63cdS4XvWd/sjaYVcTORJjUZ+fWfT57ath2qip/2rK0l63IsJyvK7W/ua2Z4Qf4nhU7DHBy+WEseCFq6AaHJUXUbp6dwlqlrip8wz1GKnru7ScmQstVrkF384M2Wyk4aKbSGb4IpIpS5GcQur2fKQ2WWW6DQKvi/CZiRzZrWoVdV4k3XXv/ufM4i084XlMB5Ri9TDuoFr+fuJnv0dCFyjhMXn8+wObTpV9KwkHHW63/uDW4AawE179kfnd17f+UdffmbDZjdEoMG8KhOUSiX1eRLAOBCEslo1g+sad+zqPPzGFFAeqNVvvKm3b12D2abp7q0HafuFMytms+qx39wFHZDFYqFnOeFqNALoeIE4d2YJ7LKqgMfQld6e+mAkk4hh8CtwUmCWinj87jaHo9W4uaMBqvrB9iIovMDug6RFd7v1Bd/So3uGdbRgwG6aXYlJtJIv3La1GMhB1eNiHCMS+PR0WM4AmVSem1v0LsYkTLUi5EVT2FQyUZBzPnHnhnQBV8glRYLMmYSgJ1jC87hBiPErQoZj06tDKYwu0Q1ShavBpNZKX1ieEXD4xxe9MTZSZ+HRrJTBuFqFlCnqkzhR5eE8fqWSt1ZLhhxOZvOcxTQmkRXxsrAgzVJcehkPp4hKRUR4sVyQ8dVXmusc5Co1wwryAq6MqpajVKRd1dimqd9mHr6pzf1a8Hizzirmi7VCNXiCeaYg48u+0PIojwN1tUi9eK0xLXohBACBa5Sw4MnValk0klNppGtOXA43gy3D50J2sQlKxEz6w8E1WdbSYvRf/vGQ15v0eeKwnwh21q13DiwvRld9CQjP797TLYb8Oj6v3mWIhrOJOBYOZjt66hpbzKBdMJnVkKbnX00GPAkoQ+pdjq0sxw2mtToEEMMiKSabx9d8RohfcTlym7JFp8nzGa1IPHl8CRTwrmYTDBIcve5+p1QmGvGG8gXi8qXlKIV3d9ZdTsUh7PTQniGSX6nGy2q5RG5RFxKFRV+sKOLGiVJiMprLFBmSIaS8ioTvGQ9DpdKAkMTUvBxLBaprGiiohwXbnb/fNwj5QHNYplhlzXXaMFYMp7BOh3m/d7Eq5LiaY3SFeaB5oz+GTWcjOU6xIo0KRTSBy8gKLRPwFQIxyXBBacWXlhSSaoEQVDhrHXZAsZEgyjKBsE6lMQjM67QdiwFBiRCZ5AqOOLHbsiNN5qZK473qdjFPpJWLejWdaqHyn5a/1axo7NZ0pKkscBZUQJTyJYiwEFVdReDaJSyAQKuTa7XydlBFRXJLS9HLl71LC1GnSw8kBB3+IM61cUsLRK9CwXRHpyMWzYHAXShYE2qrVLLe/nqFSgq7gS8+df7QaxMD6xudDUb4dUhRhhbQe18YhXg8tPmC7oSQPCdVSMCYCoeyNMPyBbx0DjcZlFWKlUuFhSIlEPMJQZUgaI83ETofYCh647Z2vUkJPQevzBNYW5CN/Mr4HE5QkDU9lYYeWSzw3SmPf7GQ63fYPGMBskRKrKplPO8wa6AWIJhgIqU4K+Uw/Cqk60ECDTwU1PHjZUmeiA8OLNiP5SrLEfAancZnFhZKLO1cnzFxLYly/rpW197LcxhTZqU5VpqkeAWcLjeIGiuKsk7FssICjw9KV9LCc3IVqXShIhNzWU1CXbGTFI8UlHlCGlTsVT4tENECYVUs4DmUqu9OX07lGRWkBamTYmGlQdYsZHUhrIhxQ3UyW5bO9ag7QL4wgy3utm7H2bJKqNwbeQO4bLtp49XFig4QAtc0YUHUHIwg+AniT1BXHT08HYvmF+cjwE1cHg8vEQ6HHvxBKBOq1sgh1WbT1tYDr4xBh+dwJDM41PhmpWN2YsR34219UIkhky5WKxwoNApphnqdIuhLxmO5m+8ZhGpZkAv9Zn+KuNakFIj4sOHY2eNgyQrUUoHYudQsZ6vVjTtbuQUGOISscnbd1Pvt7xzfvMV9dYFC0VEPFIoSyMFskSjEoHHdara0moyL8WQMLy2JSVLGt8tkYYaA9MCKROis1ysZbrZCMyLuXUOduyx2My1YDSUtJX5WySc5LAufBIYQtzoeillkcoZbxfIcRXM0QBQ9/AmVieFqYjKxwKpUlCqFNIE7jQqXWtuito1iizj0meZXCA6pESlW4lyqwpFrcFKQg0Qik0yGw4NVuTwKWBp3qS1VToVfFZv51rlsIlYuFHCBnKfx57MvzwVbtPpiXjdsdaaoBNhxVqkZtgVzdAFnINDHZkiM5VTW6/qugoAOEALXNGHB9INDd2URgEn1vW+dhIhVPl+GM7DH94kHN0BZGPAQ4QxDs5cve8gSVcLgO1dua7G+8dr40QOTkPwMVfRuunOgvsEAxhcEuZ578kwyjoHJtnNP9/iYf9fubgjks3QF8nIivqTVovF6U0KJIBBIg6Umk4oggTEgo8UqsUYje+TujQarJpbIGy2qG67vAn/wythAQDCyFFz2JXY2NVy/qR1KI0DM/vq6+mWIVelknkyWqlZUjCAHvebLzOb2xouJKBQ7hhJ9tsVy26ArkMZyZSouZtIcJiYDjqrAVqBaILJKZOAVrhUnlQroSuX/ffK+LEmmKzkubs3lpf0mR5yKNwlaVuIUX57zFhKN1d5nJ2crylSVywpF1VxawafUdJUSSxm+mOJQ6vsbd6TILM7JCytysaQA6q56hdkhNxshNCa1QeagVS3qMzgNcrFWXSQFkSGHDseVX7tw6roG3d7owR2mLbC3EC3HFwqe1VKgQ93yKec9VxBAPxECVxC41gnr6jqABssPPbxp565OyPu7/sZuDMMnx/2pZH7L1jaorBDwp3v66p0NppX5SCpVHDm/otbJTSb1xbPLUAkLQk7e5Xg6BUWvWM9C1N1h3317X/9w08JMuKUN9J4i6Kj65L8eu/vhjT1DLmi1AImE0EMQ2FCnlBhdOm8BK1aYWLaYjhYqJaiTJXr15REoIHFFY3F80gO18aANj4jlurvt/Y32UBozapR2tToczvElgslEoltnpGJ4miKhEmkumTfqlDalYn29zcSV+H0prVE1lUxqqtCPYq2gPEjxoZR7t8WYjOVkWfqLu7esFLHvP3Zfk0l/MDgdY/1DFleCyKTzVU3VlS8L0mSxgms5njoodGU3KvzMIlVWM6TIqdHiTBXDWWiiKhLjOMUN0qvCgrYsjJWpilJcBa8QKsmwVV6pQrSojXkG40uTCc4iX4xZZCpfTPHrnbs8mTxPmuwwGDEmv0m/DrzCy5lxk0Tfr+02iPRwcHWC0AFCABBAhPWTZQDyJQgVQWRnajLgajDccdcgHM/OhF9/bRwqwIDCoEwwVhsotkpzk0G+SLCyEvcsROQKacCbpCgaoulQPWb0khdSCIESIIAFf+amQzOTQUidKWAEVA2dmQ7edMfA5FRwcSnW1mZVyiWP/uau49GQgeBrROIsTgbZElmiXTp1Pk8MrW8EiTwM7o9feCOTLw+215WzxFIgYTSq5kJxULGHJ6NNNo1LrRpPJvgUR4ZzcgztaDWDshRsqwaHYWdP69nFgEEt/7W7Ns2l0u12UzCWNckUxlxVGsa76609BuOYPyKUijxUNoqn/mHicIK3zFTpcR8NPQQZSnmbuyMKog+GJgpiqVp0IboaITOMKBmMKHTGNM4wXCkmUmFkheXxGYGQNUtllCBB06CfFwIpr7mjXELIynG6lCJyIcqbwkkOZeg0a6NRe4URHsseCFXG8Woqlpbf7OqFYJaAJ5jOzRvFhpHsZKOi3ihGhIVo6m0IIMJ6Gxxg9Zw7vQi5fpPjgamJQEeXHbb2oAhyMgbtrOh0LA85K8l0ESrJKBVrGlGQNcSTa2XaIYH5uus7QYUAG3MKtWTDllbQvk+N+zdudntW4i8+c35xNgytdCCz59SpBVBm3X7n4A03dq9ks1AKudNpXp2KFlh6rVRLCd/d18JyOQKFsMFlxEoEBL/OegMUTl9YDHRrDecmPNCjPhrNFnDS2mSArKBAPt9UZzSoZdDQYTWSAeFYWc7llypYDlfLxdHjy1U+72AslCrj927ovji9yoXiyE6LwW0MRbNFUdUfTjGSqtyZtEpUeV6OpoV2ud7Ad6xk0yqJBOodx6HoepWVGkOwf7dSDMiUmFpbYFmeQipgOBBfh20EGHkF+p9CZA00pWZuq1BUapd3VqviCkhMuZUK9O+pBKscKpHWPuq+/hMNO7otqgYjF/xQkDjQVZLk5gxCS4+uCSajW9MOzBUqR7QitVmypghBL4TAVQQQYV2FYu0Ayh9DAB4UDMBH+UJ5aSEmV0r6h1yQvEvgdGODYXExyqlyHHYt6Bm++g8PLC3FykUowl4FmUIgmq23aats5Y77h195/lIyWQT+Ag1EwJuKRjGsSGy7sWt+IQJZPgqpiMNWIVo/tKEJup/qWcGCL0bwq/IqvwBpzzi77sbWJ89MvDw19+MDIxUxD2fpG9ta9LkqFsMUNI/ViQfd9U6TzuzSJShQv1K/e9u2bevcmWA+Oh7ziwgnI40VcZzDrtfoB3a2P/nqOZdJt85i2T+3DEFvqOLiajQdnFqGjEKQL2yWG/QprtRsm01F9Ga6wqesWpFNYUjl2VipAM0jgIagsoJNz8vLx2WqIvSHZRmedC0uxwN6AlFGBQrGs0LgWGi/WuXSAh5NEYqZZMGhUggFFEXKGEFUK1IN6jszdGxQ29es1S8UlixSo1WmCxCrJommQ1snEnIaFU4Rby2RE0zdDpX7dOoS/Lw6PUSFEHDXyjasFL06EVJmXQXm2jpAhPW2+f7nrx/ctNnd2+9scVt6+5xQHmvvK6MioXBoqDG8mhwf9VssarNVDQk9/UMNh96YUmikA+ubNmxqgoTnYCR7933r+tY1Qr7euk0tVodGIhOVylQgmAadl9Gg+NIf3br1ulYI20PwHnhp3aZmyOD5zsFL+8aXoAiny6B7+JZ1S5GEUClRg36cokGLUOVxEon8jV3NYPpNxxNsmuBLRNM5SJShbx/u6m22Q52sEs00GLWnzi4eXvGuisogQ9cAoYTLi6WcZzZyIhlhokWJQlpOlAwWtTeXa4NKzCmKa5CmSYIV8qZnArwufY5gFVzNn+66yyrVMwXLMjENhR269fUjsfDD3f12pWoqEFfq82AsAUOJBaAeq4AbCJ9FkNBskcsTAGnD/1nYwoBa72IhIxZWGU6+z+CwKOQaocYh7KI4BatClSRz3boGL+4/El3UigUBPPgp1707TFublQ1KwduKuL+VrWCSikwpRaWfDvw4RsR6NT1vmzb05ppBABHW26YaJOyxcPbg/gngprmZcLFYLuSJleUY1IEJ+tOgXbA6dJB7SJPMyHQAolrRaC4GQnOKbXJb5+fDEHVyNhj+9YkjYCT83d/uh4oxd9419MnPbBm/6Pnjv7zbYtVAdZqRiz5ISByfD2QF7PeOjwSS2QSO56s0FMDrs5r/8PM3HV3wdDjNVrF8IhgNMiVwx0CV6qeKFrm822rMq3kkzSz6Endu7oaNRSCsfJn4mxeOQ1NVPU+YyhVFfP7mzoZRT5DmVIplWhhY629fqDLr+pq5MkGJwy6vxoMcQmqQOfjS+WAiJ61+6Z4d92/omSompuLpsyFfVZj/QtctUK+d4hbFHPnn+oYsRWGMEwGHEfQKIgHwE2jFxBw+y4B0Pa0sF6VcXnWNocoShob9Qp6Iq8bJap+xWcaXxMlEkWIGDc3JAsvhUTkmfTx9BMQZBrG5V+tMU5kudRt4fyC5ettMvPlmX2S/W7lmZIHK4Wj8+DOB59vVrRaJ0Sg2ZqmcQiB/96+gMx9vBBBhvW1+QVr1wlPnwWtrbbVCXFwqEW7f2d7e5YCg1eWL3ga32R+EIitkY6NxNZCuhy25VAnUp1C8ATxHIKOJicCRw7MQdD/4+hREuH7rt290ugwQmSrk8ES8ANuIp4/NZ5L5FSKfkFbKUi5UfAH3E7TuCp5gvd0azRQgwH/rdV3Dna6uNse/HLmgqgh0HBFHxNtqcYAPRvBYrkIIdU1XS4V+iHtniiDQJyuVU5eXQoU8pRFUFPxkAQ8HUgWClnEFLANbdVxRqcKVCKG5jkogXC7mqhI+T8jXc4RulWbnjm6ws6BqKNh825oaXlqc22Zv7TBYGQFGsIROIl8EtkkQwVLQplIvc1ZAuSWgrLyKPF0Az5hLEUIOqSgU4fFxnUhNVQgsrQsmJCwf+ppJimWuh5wq0nmMwShOZhybrzISu0IP25RZMuVSmMLlsF1mg0oy0IfibdPw5pulwvJScblP0/vPK98EbhrJjr3pKraVGPxE6hTOltzKlnf/Fjrz8UYAEdY75xc8NRBJSSQC6KzV1GIBAXo2WZBJhEn4jlaqQqEAqjvNLa5VZ4dtRJA4AA3BHmLInxnsd33hS7u10FMrmDZAoV+R4K67h67cPZ3MQ2gMPESrTRNYTWFJUCFx6u26WK5QIighy1NKxc16bSibj8RyfKmgTNKgiT8z73Ur1EyRceq1zSat2aiBCjNSvlDBCO24ELIaf3jw8hMnLoz6ggKMbWuxbetp1qnkn+7rOjW/iolZUimQ8PjAdwxNl1T8iohX1YtNehUU5BJJ4DOrKoGIqxBtaXP1OG1Pnhx9YEPPDY3NP5qZ+N3128wSPWhYSZa+1z3wndQzoIPV0LopYl7E4UcXVVVDMo9Jc3GVzlhUKcC670AAAEAASURBVNh0Qm1SCrnyaLUqKFN8oZgmCMF2e6daVNGJDGI+K+bJowQuYPWlguTepmG3qul00jOobTNKNJsN6yVgkME/FG9/gcu5L3agV9OtFxlWS6sTuam5/Dx0cpQJ5HkmHycSUr50Cpvu0bxvqSy4w7tv+/YPQe9qDwFEWO+cM2CoY4dmuRUO1DWGqu1+b6Kjtx56ykMSz8at7ocf2WoxqCiGBQV8Y7PZ40tAIAd2/awmVSlXBrEomFTXbWsrl6lYPA/1S0HlAMUeoKz75bPLQH8Q56kylflCjuFzNlvs3jAUb2AhY04mEiqMCoNOoUjRyxNhSEX+p7MXNxvt2YlksUyZOKLPPbZjcjniVKtbVeAFiuwGpYzDGWywWkrccpmpyARKvdwgl/XqDRyW26DXrqTTEP8S5Gl7scpkyP42Z4FbUXEFwJI9TbYJf1Qll35i58CBicWT894Ws2E5lrp1oB061tza0gqIQEUXjMofiJ04Gj/XoqyfzHsTpSL4gFiWm8Y0AnlZKmOtmopd4MYKPJkSl+tjdBW082thLKGQzWYVs3GMLywZ5JAkzVfj/QIpt03r+M22Wzu19Vap6WJ6+Y3o2YVCerWQ7Na4xPw1C4upMDwu7wf+p8BPfCn8spAr2mrYMp6bgqDVWHYCvMJWdWuWygTxEIytW9PdoW6X8CXv6UvC3QpMIUWlVELVOycYva9lBFC17J/O3re+cQh2xOobjJCUM7IYhYY38E+0WCyQa2QGs2r79Z1QARlCRa89f0koh5KaUghgQYPi9jYTtCZsa7PBt/XKveC8z5fcutXd0mKGIhBw8vBMeOz8SjKGQd1kjVb+qc9t/ofnji9gGWhgkQ3GZBweROJzgdzf/uUnj7w+BeXYC1W2pyy/tBAQ6Hk4VoUdyW+/eLZE0p2dzXqpEAoh68xqS73+hafPjY77hS06kIwO8+s1lOBHx8ZbrIabN3V8/diZZoEiieN92zpGPXGyXpYN5OukItjNFAuEf/2J3V/891f/z75Ti7GUgM+d9Ed+9+Yt0Ir5Khb/d+WHKTLnlNvuctyYIjAoovBS4BRZ4fJkeIsqRchIjpCE9OkAVSzR2iqfkED9KlBPQO0dLqQZUgo5xaUkkVK2tCqzqAV/uGXw1SgGGZMNau2TvqOX0ktMtcDjUhTDvd0xLP4PfxBEWK9GXj2RPMqtCqUCCVv1Q5rObssujC7oRdokmZzOzTQqGtVC8D3prcZNSsFaZcT3fAXwAM7iWSoL0a4rO4/veRk6WXMIIAvrJ1MG23ZQxGrsohdi7dDuNB7OgWzqwUe2JLKl+YVwZ5vttR9f2v/iCBR7gSuh+c1nHt/Oha+UNylVim+9YyCXLkLd5OY2y77XJk6dWqyr1+3Z0wONY67cvbHVev74/MDGZhCRfuVv7vve0cs0mBMYFSoWdDIJZAVpjEpQOxG+AsTRewech58fgRLuOhVUa+aniXJKWlnKZEDUXuSxt+/shRrH4ELNXPKMzYacFo1CI9m6pe1TN68rVuhjk17ffGzHhlasSgOpgeHmcBnuu2d4LpksswxTpsE1K1foBzf3TfqjOEXLQSDKVqC114bmemhyc2W0QBCQhBwm4kATO42boKjeTM6bEMUIEGlB0rQahA5AbVySlbBlKL6FKZVFyMIBRQNUyIF0Qp1Eks0JtJoM+MB6ZSVWIhJUZC6fmU/7F4qhAlOOUcs5ugjhsMca72xUWFRCMBZ/8oJQ+nhuHIgPavjBZwi5fCFPBAUb1CJVsBwC+6tP011iS02KxjSZanmvGBZdoSdyE0cSRzAag5uC/2iX2v/j9uj/NY8AIqyfTCEkFUIhl5vvGoQ0PA7UVODzNFrF3Q9tJCn63k8MQ/7Nxm2tnX31UL0PzCJLnQ5cP3AMofweBFbue3DDxq2t7g4bWGQnTyzcc/fQuvVNbw2gAL/suqX3wolFqDzTM+j69huXIXoFvdq5Qv5Ai93dYE5BfiDF1IvlEOqCZGnoQKNyaeI0kSuTco3UYlKDkfXA9n6tUPhPf/eqRix65h8ObL11wKiUdG5puXBu8fMPbYdapv+27wLsCAaTuUAgleXQY8EwLeKWCuV2o947CjuNhQiN6wjBVz93sxzucH6CZStOvWZ9s0OrkA022IEmfvjDs7299RK+eB04joXWRKiYWMEDWLzALSbYJCMrK7MakmAInkApFopZaVVcZmEHj5FCeSygKg7LkYhoqQgaO3NbVA6wsHIlPtzNTwQZbknK14XpOYwqiQX0nY4dMTJ2vXnw+cAFSMexSDVARi+GXx7LjmepdGUtMbsKVAVzA/SUIOJRIkKyZKe6402jyfRIw8PviLiX2bKQJwQr7GLmYqQcYapMg7wB5BR7I3uHdcPIyKp5ovqPB0CEtYYEtIEAkScUbIBODaAXpQkGtFd33r8egt/wNYRwldebgK/3V/7wx49/fmexSI5d9kH+IOQS3nLnAPT+dLqMUD0ZWv7BTQaHGpSqt9UsvQL17ERgcTb0wGPXQXmZpXAKahbf4KinZLwv3rl1z2DrUItjyRfXcIX9A661bUeBsFGnbW+zFXGKI+H1NduhVfK5OT85n4SGqecjMbpFu290wQSp1HhJpJP+8Mzk3rGFcV/4y3dtg4gVNHO212n9KSxTJjCKPDzlqch5OwaaYWCeRKZMsVB6FGwryEaWCIXnlgOpfOmudZ0wTtg9AGfW5TLMzUfAsV3XCl6tRVlRhjLpQXzALwioq2qxAgrHUCwXFBIlmhIzND+dlkBxLS6/wmOUeqGyTqXrFO4a0PYJWONSkohlOQIhrZEottjqIVqnFAkblS66UpLwoSx8frNxwK10PBv48Q/8z3SoOubzc5CPDc5mn7pfwpPATiWfw4N07RyVh+ExFQocvZ3G7Vap9eq/B3AN0BPISg/FDpEVcq3Zj7INSBD4a6N+o0FsqJPVXZkC9PNjgACKYa1NIuzonTq5APtuDM0cPDj1uce2H3ptPBLOKnAZRMnnZkOzsxFoNQrfN58/1TPohFBNJlFIhLPJSDYZz589Pi8UC6707wID6j2XBVhn8Af+Kgw1kROF9S57f52VSsSPTS03WodlIlExT3B08ivlSUHwBcmJLQ7NM2cmC2Wy3qRRKyWRVCGdxlbDmSokBlEsNM7auKEVqmIdnlgGYv30xoEpdfhr3z7U02pTqmSLoeSbDhoHY2idWOTBsZLP5zJq7Y368XgsWMTSJdwINZeDMZplwb+7MmbQWJzGxs5fHmnCmoTNzGg1U0yV72/ZFVFbm6V1UV/PciHGjFe5LUWBisvLgcVVYTmMyQpdrwViHqOWMTc6B1zy+mcuxXPFKLSAfqS7f89L/08oIsIx87QoV+Ez2+3uc6kFh9TqkNl71Z0HYgdkPGOICNikTS8ELnN4+UFtzwP194NxlCJT/776g0cbHv2u7/t8iXBYvy5DZdcqz3CYbyx/Ay4IE2E5X75BvwF0vEBVftwPgXYIcgFDeYoeaGsID9WjRhLT91yPtXoSEdbazAFhQe3N/fvGQZIOW3tQiu+3//jWudkwFDtWqWV/9dVXIG4Fbt3uPT1HD83YbBqQuYMyC/RWUGNvYTp08vDMb/zeTWBkQZvCU0fmoP9NOlHoH15rw/eO18JsGHyz37x1E3wElF32ZnJJ6NtQhhJYVUiX+eSe9XB9PodDxnHvUAOUebhhwL17oBWECDOBuD85488X5BLRln73a/+fvfcAk+O8rkQ7h+qc40xP6Mk5ARjkQJAACJIiKZEURclriYqU/Cz7Oaz2aa3nz+nZXstr2bLSWrJEWYGZBCOInIHJOfV0z3TOsaq7qtOe4VBDEARI0CS4/vy6P2hUXV1dVXObfefe8597zrmpLoMC0uxff/UIbgwq7KevLLG47KCAHgkFGXYRpRlce8wyWSJP25UKboGVJdi+eFpJgIXFyTD52YVAUJEqizhysTCcSiNVHT8xc+HCkrc1EA5ExomlP1Q+HGfSvlzkac+pTmW9K+f/Usf95fbytwQ/DCZCOhFhbJRmcuyZuJsH4oKIReeJJa+5q71/npr6y/3758NRVKHwglYTRbWspJBwGa6H4ArlHJ2MGyC4um2aDie1Cna7L7uiE+jcJH23Zf94fPJL9f9lPWgojv7vpt/LFnN6oV4hVR4w7kdiWn+pRlJzInQiRsfsavuAagDFFAK4S7cLWHuUjgIe3KnbCd7D+sGVn/+ZIlBpCdc+zVA4+cSvL8PeprfbdumiQyoTtrZasMAHmtXY6Aq+4SCsb9/RCOMc6GSBUIq3AORCvsLj5GtTdBbSmlxY72BjcdY3Pe5GrsGwDn5e898KzL6Qp1BG4SVY7MQ8yY/f1kMX8ZUmtrXXQE0Qxw+dX8ICpblK/cK5abAXLDoFus7RJY/TGwkthOLRNDuZM6hkwSF3T2fN3ds7jSrZS8NzmJmBKjFdLrXbjAatDEIywNQx5QgzUqtGOekPSiRi3DOMwrQ80fysH373nS1Wvp9pAoKWy5o4BKa1kbhLRFEo4QX5kam0A1i7gM3jc7irVACS70/8bHhhNrZ0KScz8wc5vXeZ9xxdjrFoNUiiiag6z4jsGvlMKGsjatu1BiNsqXm8Sx53l7p+KcQlRIxdZnPF6WAxmGVFEjTrbMQRyiUest1hEptHE5MP2w7+6/K5h2v2KfiE4CqrZxAsMHTdqWzfyFYIkZQnRYWFDfzFsMvsKK/A1UJVhQprmVzuUfUghV0T+crT/xwRqCSstc8R2nuQb//CF/dtGbQLBXws2wH8hjzD2NgKKO/gVanVEsjpQcQKWPs1Hzxy1uVziyiLsEoIb67lhWDXQC2YWc7FIMxTrzkYOQ5zORCiqbKBAc9BOwnGVnXVWyIqWKAM+ZPpVHZozDXpCtSY1Rj9i6aoEycmWdmClAUKOXPP1o5VFs2pVT2wrwd3blbJJ5b8W7pqnHNeWKuyMkUJlwf1GKteIebzXJE4ZhnRP37t4NZhh8fIEjlXI/x00c6VfXxH55Xp1X6bJVUuHPUNHW7rUe5gHacvxwQJHaEwijR2qTXCJEJUQs/VDHsXYtpIWpZqatRtFfTsaGvCqqLAU2q2W8ZXsjQnmaEIsRhuhqqHW7oxavjLmYlvnnn9s519fC6HFEQPWDY5mRGzpIopCu607nw1MJ7OU/3q5lKZRxVYQWalQdrcILOAqprJZ82E+uq4XRcyB7mhSd40l56T8CQmkQn1VJAOoihDbbXxXiwUgqi18bSy8Z8gApWEtfYhCoS87h4b4Cp4o7a2WWDPBX8K0BrQKLW1W9/9Y0aGWnGEvvwHB2Ge6l2Nwj4nHsls3tm04ggjJUElWaN7G10IRRZkZ1DNicQog7jLCwG+YE1Cfv0q2KhtMKiM8tVEqpwrxILpIp3/8UuX8wkqWcp3t1b3DjZ2dtqm3KGvHt4G74n1d1UppOcvzpMTgRkqzSuXfb7E6IxbyuU21pni2VyKykJ7a3db/fNnp7IpuqfB+ujDO9Lx7F139ehtqqMX51iKbFoRm2W7fWxPH791Oe9RCWVgimsEchVX7rnMRHzZTzXv+/LAx0ouYru9NZ7OojpTyMWjxfDfDZ0juDyjSI+5aIaVK7CKWr58PhJ9em42Xczd39xuV6vPRWeCGfKzjXdeis1/uXn/d5de3q5tAb2rT91oECl71HVjiSk+WyPnEXaZ0Z+N10r1MKlH/frukUd5VSepM4jWrCSR1DRCDcorEBqQtsDnmkxOzqZnu5XXUVgGMP+r1Z+3V+Ctd4/vf8hXKwnrzY8F3RCy1foT5BEY02ezecDwWLN79w9uccZ32+EulVqKSZ2ZCQ9Ad3C1qmv1QX+cojBiU3z+ySHIyGycBKA7Citw6JEW3SsROKRe/er6Ya5AjM1hYZzwzMLK8dElpzsiz7GCrILVbviXk0OYDTq/tDLnC2GhsFqrNCikyQT5b/96Ukqz+TaFhSNorjPMRaLBaCorYO+yV5OJXLVFU6fXUEGqRafDIIzDEy0SnBhDg+plV6gGTLatihaxubRJ13q4ZuuFlRlvMWiTGB9SH3xq6nyRKt1Tu4Nd4s8tB6KJDNixWE4FSbTAKz81NbUYjwVy6RBF0sJ4mVNO04XFaHIk4ksxOULEHjTWsHiFp1cvz1KOlwNXkIbmUr67LAOY+1nM+KQ8sVakWMpAbIxXLdHuMrSiAXRk4NNT/OuZ5+4wdW0E7UYbV7d+a/LKOT+gdywX1kvrt2m37dS+VW1dfQZ0l1qh7kfO700kx+fTsx2Kt11onSFx9fGV7f84EagkrOt8FjMzXnwBC4VSe4cVyes6R1y1C8DTzIQbyFSpVIJtaipO/tsPT184PTc74Rk6twQoamx4xWRRQuQPqBZ6vX/+9qs+T+zyhSVrtWbv7R3N7dfSGqedgb/5xUkhn+8KxIcWPKj7SinGJyr+7gO7LrwwyjVIIuns1ibbrta6bU21rw3Pw6V5+MSsI59tbzDlYT/BFraa9P2NNc1NFpte9fSZSVC0fGRmdMVvVci299kh2yfOseYvuw/t7ahSKn7x8/PggPX11uyt79aLVN+Y/J6wJNTE9dFY7vST/m55U4++weOJdrRaWu0mLEqCaIrlBQhR+FhUnUr9kmOBC5MJGQVmQyLNJ+kSZJFD2TRHFstxM0sTmSyRHs0sSFmEmBFkKNpHReYpiPPJGqQWJxUyiVS96toInTwemESppRJIZpPef1x8GcVVlEl3q2qvivR7bD7peRIwVou8JcSEDpsOZwoZlFpXvwcECJDpg7kgIDApT+bNwrCnelC7PZPPiLjiRD6+QrlGE8N6oaEC2F8dt/9Q25WEde3HgQQBtjoEGHr7ajc6tWsPuuq5TCFG0QRGqHNxberQ3mzC+iCUFYCOW2s0S/MB32oUEzlHX56YcAejq4lVZyQey+w/2NnWVQ1XxHcmRFQ9Dm8kPezxOEPcbAFkpASvnOGVXh9a9DBkOJeDdg14pOlsTiOVnB5f/ukvzoz4wjFWYTmaWpsKCsbvPdRPlcsvjM4B119aDVOs0qGeZnjYSySYv+aXuOxD+zrQsY4NuZ56ZmjJEYL+RDRGbtlih2rC645RUUkoTspzBPVfNu+757bOtkbTC/EzEg1PwhfFQiAoJCBV2NdhI8T81+DXmMrsr60LF2OxFA8UKi6/yBcyTVo5yY3RUWmkQC/mXQJWWZEnCqJCQZAv80Gqgje98mRwJldkppPuVSqi4Es+Zt2ymPZbCM135l+U8IQHzb1uMrJN13xVpN9j0y61O0mnTqRDn0gWSGQlteAtLAzZCkatqK2EHOE/L/1DndSO04GPWiwVlsglsFUT+QTYW2QhoxcZgIu9x8VYrGQk7Rh16avflhPf812VAz5gBCoJ69oAAkSvrdO1tVfh237tazd4vuoMwyYHzSMsJ3CIHDJV8GeVEsdfmohFSdjqQEVr595WOKGCLwof+T/924daOqxQMX1ntsLbAcw7fFEQtwmtFOqjayTPEhvqoF6aAq4jhdUfm+WNpWZ94YkVP5YIQgWYiEH+kw1X6WypyMCS2Rt3UOkwSW1urOaT0NLje2IpTBG21RpBFutrqKo3a0qgkxeKUpm4u9sGyusXv7A3FiMhoGrIawebWl4fmykZqT6j3azQeHIhjz/mZYV+7T1qMEoeHNi+4AguukJUij7c2bLkCZ0KrrJKWbrIXSN0laDtzuFj4pnm1mcMovoUli8lPEFYEG9QGGOFdL+6IcKkIeOXgf81q2STaO+rGjSLNYFc/HnvEMYZ0TZ2Km3A3efTvl36NTrrTT5QPY0khh3kkkVkRYm0kFkAg3T9vcDjnvE+FaQD1YQNh4EDcTL0Ohf68clxrFEOJ64gVSkFKl/WayYsCr4SHq7vctGFIcf4qRmfI4j1k5rW94A43+U8lZf+HRF40+Tq3/HO/8RvgfUWYJqb/wVBaFhjTl1FGcUE9cSwE6rqMhXx3//6wa/+waHbDnXddqAjIC49/Pld735mTzipkROw3oozNLAipUIaE5Rnk3FRic1wihCi2aM3STl8NUvIogqTDl8JHCs5D5x1m1bB5nJgUHieTnCk+FqyfnVqbMgfMqnlqH2c/ticJ7QUjOpVElSRANdgp6rVSL/0hT2fe3T3/IIfyqho927f2lUM82256hZRzZmjSz848tp3hp9hLQtycdgNMrlSHhphlydcRr38vjt6YKgRSmUIFiRlBIQYWqPIwGwWV0DnRNIid9Wy4AnT/LyAkHI6FbXzqUChVEbT16KoxhIkzKKROFxk+B/mX4ox6Ua5+dM1O1ABIbshVZ0JzT7WcODdA3XNq+C7YzTHKDSeiZw8FnqdLubWuaM4DPD8Du1ODCqOxIeg+jAcvyzkirGAyGXzwK2vldQfMt2No1xZ11BsSCN4c9E2FoDT4rWP+SuO0RPT+KvWtastn8sXmMK1R1Se38oIVCqsDxrdRJy0QrBKLdW8IcywcTo6l18AeJ0vVtXqdAYFJnIiCfKZ4xOBaHpb97Wc0qE594wriJwyuuBNZLJIMV0N5rUUE42rZES4SMNWQlJklwplWLr66SyURaFQuppKwwAVi40mvphhijm6SLExmFzOs0u+eEokWLOuAUJvk0jb7caVVGopEM3AnRkWgikaUvD33tvX3GTCaoNOJ6uxaaurNVVWNfrNyXnvvQe6tRpJQcUE0jEZT0JyKL/Mb2Brk/EcvcjFlJKUEJrqpd/1PR0WhSRxTkxMFjPCvqSeL+dTvHRelCwrMxAezCIz8pgdyubRlBN8Li6HmynSdRLDeMJN8HhyvtggVkQZKC+XUWGJuYIOZfVM0lsoFduV1d2qmo1gvucGaqinPL+2iK2r1MoB4x3jyfGdul2xfBykU4xDIyshl/Wp+5ki4yKXFzPzVCGLVUgM+mRLWQkPws2h09FT2QL1u42/v3EtISH4b4f/aus9AyDfbez8+Z8/bbYbps4t1LRZn/r7I0qt3NKwVlZXHh9NBCoJ64PG+ZfHxga760BWuOZEmJeGvjsqL+SsoD+BdJbJMcFYGlXM7v41AGXjASga2QoDyTq1dHzBW0jSzkuuV6aWJ31BTMTlE3SYJBsJmZtDS4VCCCVgUDrLgSMYw4FWKYuNEyaLjIYQI3kJuBymVMAiHlYMSIrmc9mKPAekVvdqRFDgfKyzeXtVVSiaDqfIPVuboEGIbLVxG+sbs6v+H4688sDmQYVA+vj8ayy/oJq07h5s5Uu5n205tFryTzug41B2ZLwnPZOaqDbJSeeEkL4qCwUstTy/y9g+V3TiGSevYAlyNCzrhYwjG4TiAm6VzBQgGuilYhEmmS+iJyyh8hJyBeciM8FsQi2U1kuNtxm7zoRmDll6Zfz3pqq7qdUj/ucnEmB1pQ0i41RqAplLwBXeabzrVOTka8FXEkzifPQcOsEORSdQLb1IrxKop5ITiUJCzCPmU9MIF+4N9hZzqcnt2p1Nv+kiEQ2UUSKpaHliZfLsXGNfHZ5iZ+tgY9tgYxjekKHk3V++o3nz2z7Ka4JZefqhR6CSsD5oSF89PwvUqcpwHR8XSF8NbGvApCFXJkC9c3LMEUmSO3rqzGr5+h/tF564YrSov//TE9OzvkvLXr1S4lwK5dnlV8cWoX4VK8BrIq9TSlMRUquSONJpUZ4lVRMEh5emcoIsi+EC5WYDlkLPg+xVgIh7KY9tXmZNbJPDY6MF0yskEMO5d0dnh0zBzeQvvzruCSW+9qU7lIq3YJrvO57DOt1EctlDhf9p+amChurVNGDF8CfeI7u4/QRf5Ej7ilkWwHhXwTfEmiLs5SWBK8ZNMKw8R1XMCDISZFIi1aiyBv0sfo44oGydZ1bSXDDtgRjxqyUqsOGFHJFEIPTloukChaADwJJwRWqhYji6VE3oBFx+nMkEcrEqQnOnpX89WyEhD8VcKMTQbF73cwJ9tE3ejo4P3SXkImbTMxK+JJ1PDSWGIG0Wz8c8WU+famCrdhtQqvUzgLF1PnoGiJVWsCaVVS5zskXKSTmqJNWDmu3XLixmcheOjGRimeGjEwMH1ihdQrGASmVP/PJc3/6u2o614dDK46OMQCVhfaBoTy75JWKBO5AAeCOG4spvJKWuPqmxTju15J+c9UjYnHCGWnBH8nHqh3/zyvkTcxjieeKXF6ZCkWqNAuPCsyshENOhQVqrVi6uBvMclkEpkXF4WNtzZTOFbKFRrS44YhGKLEDvmAe0iA2IXUWIrHIZLHYwlwMMSMbmazg8aA2KcmszgwYYF0aTdII5eLA7mc15Euk77upvqjNu3CFVwLIjazg2v0IGJxOOVTL8+/UPd2hr/u3yKRfHc1i9w0tF2dpC1lV+2nsqTqdjrHQ8R8p50t1VXQEy7ouzijF2Is8VyHK8oFTOk805Qv2E0cFKZjl0g1qbogvJIllisZgSnSonSywkUiwbQJMBajTlCJMCTXRQ10zwRBdCS55s9KGabSLumyNNxwMz58NLFkKpFb6NfLtx89hAtkJtBQALwqTwtAbc3q3qQ/Lis3lb1IMN0sb9htuvPv505GQNUdMka0zlU83yln71wKXYBY1A3aXq3qzeevWR2MbfmfGT05/5kwfguWhrtUa8UYFYeP65K9kMve/h7Zgkveb4ytNbHYHr/+G61Vf9T3P+9nrjX/3kdbNOcWpkaSUQb6szaJVgmHO+8dv7139HrM39xY9e+6Pf3oek8PivL16ac9dZtUvRBKgPUJtRYjK4UBSyy/OxOJxR66u0u3a2ReOUfyVilEuX85Q3mVlmJbECIGPz8J13T3o6O6oHZJIoK398dpkDtjwftUeZyTJdVYZMoQh5HC6XFYtTyZVo/4A9tegVsWG6hfGX/J9/61clKn/ok4Nbut5GbhJzhb1E42Bze7ZI+yLx3/X909n0SC5EXuSPlXOcn0RezK6yM2eZdEuEneC3FmoFZv6dDZv/5+KvzoQnS0UBICq+riARQK6KZ5DJwHkY5Js2d9eVIsXvLF9ZLEfZBbFKwE2Wk2vf7jLaqrW0ioqoVGaJoFFTAKgUPWDqcZEhlUiySd2o5L/ZXA9HncOxld3Glib5e4NENqIGJIbjoRSaREBR+/T7UXxd/Z/ZU57HD5nuRRnmzDisRNV44rJCoI4z3FcCz1QT1l7V5g2s/ep3jZ2YGjs+xVC07pOioWPHwz8qCmlRfXetVEmgK0S1pdQr5i4vnfr1OfxE5aXQydE8brt3c8vmhqvPU9n+sCJQqbA+YCTZRo0sliJlEuFqMAHwGMjRn33lMJQS1s+LLynyV51Fw4JSU7Yw6Y9847dvA0J/6tw8FgFFebZUJSZVvJKIU1OjBzVhfHzVP+IOzQX87AKbzxHCBr5Ygu+CMYcSTpAk2FA47u6tmXOHmlqsdQaNO5o0KeR39zY5yQyXzbHxpbkAWfQkW7VaaiFakArlAqE7lthmMEIPy6qWr074Rk/MbN7fvn57sWBy6PiMpU7H4/POn3M4GE+0lKxSabIQmMpwXNGgVi3bJewn3cX8krC53SC2sCUlghKT6N04HGGBzWRKpdiSnFAD7ucolvlhRQweaFeKydeyI1mGrc5odGKVn0oC4SqxIcuHgqi83puhGKTXRNzRGxag4gA900a5aTblHYu5AWa94p8cjq6ohZIedTUKMRyMSmodRbrRBwaCVTgXBvPzXst9oCasH3bE/0SjrC2/JqRFOsj514MvozfERWdTUyHab14jQBCA6mdSk13KfilfukotK/gqXG797YD/4qGUbbfRL1veXbePnC0ko+n5IZBGshh0793XsTTq/NVfP3v55dFMnKQpOhlJOadWE6GksVavNl0HJbjRzVf232QEKgnrJgN1/cNQMFQZVTPLQX8kRYgENWbN/EooHCcx5eOPJOdXwr5wEsx1rAxeOLO4PBto6LY22/R2g/qZS7MW6IhqxGWNaNwfxknAa8f64N7aKqNIbDepl8OJcqkkL/MwQwNrh75mm4zPVwmFVIxcnvAUlCKbWTPpDnZWGSFV+kefvA3mN8emHQd7mwFsxd3xxz61y9ZtOzPuYJZjhEQMTdEchxXI56/4ImWZMDTsat9inzi/6Jz2gqBvtRuBqf3E89J5/0z2olDnM4zwp5eyHgktaRLUiMOSk2cW+jprvnjvbRd8M4wQQu65JCeTorNUuQiVPZGCTiQkSpY8KKQ4HIYtYOtNomZZg4qjBHLnTEW5BIaaWQJ+GZws5C19QS0S83JlGjGFaCm4BU0wWuVwjSJVlE4Hckkxh79M+hvllnOhRZRgmXzOkQ7/2HHmNtN70LJsElummOlS9mx8WtAVRLby5TwY4hlQbUPnWCOxYSg6D3RPZAY8H855B9TbwN5SCuT+nCcHrI7NkvHWlPjx1DnkJYtpxR5+jkPFltMrUWfcn8z6aZVe0dBXX9dZ/dKPXj///NCGnP/adcssFF9SpaRjR8vGbVQ2PqwIVBLWB40kOE2nhheHZ9yHtrWiNwQ6PucKXZp0wb40kcoKhXwoKfc0WUPhVFbCiVM5m1YJQ+a5YHQuEPWnSLgExjPZVpsR0sZbWm3IC498Zqe92XLiycuSGo08UwgKi6ICKxkntWyuIEhCaKFok2qtqq/cuUWnkH56b9+5WdedAy1SsXB02ffZOwYshMTYaDj6y0tavqDKbtSopGi+du5ouTS5Gk2QDMWg/ipgxpHKQ9y5f1+bZylkrV+TzfFEor35DiOhIancQW2/I+flSNj+bNR7Octl2Og9Mf9YFBbWSO2lZBtRW3DxhQVlGLIygjwrKuJpSK2ApY/p+5jannJVd0fDa6GRLIpCWT5LFpsIM8FSsQQM5CUMSik7yi0TLLVAdkjeny0yv9MGbZlTn6nfiZXE0ZhTJ5Zv0TbwWLwToTmlQNyusvLYnM817LyZj6pZ9rY0kcjH0PQB4O9TbUHOUqJ6YmONhLtLtw8GYijE7rZ84rXQ85+rfQy5DK/K+aCPuo1iy2RyJJfPPvf8c7pmNZfkwyBNkdDGvUl5uyi3VNp+3+a5y4tNA/YXv3804o1dM6YNsQp0izvu33IzN1w55n1FoJKw3le4rnMwrLqguoBU9eD+ns4GM6gCLn+suQYughJ3MLESiOkUa3MecoX4uTOTnlDy8uyKK5yArSmgHFh2QVYLU4v37myHKPMD+7oxcZ3O5ObOLw5HYg9tap1JJ0VyYbtU2dpR3dRgySxEBjY3uFKpIsE7NrnUVm2MZyiVSGTUyH/w6uVNDVZXOP7y1JJBLU1QdDCc+tSDWzUa2cj0yoIzgMNYdCHPZjX02P74v95rqtbWtVmRp37wrafbN9l5BHxQZdD/MplVmAJ89fmzHn20VVbrLYfS1rjRq3dNrGJOyKY2LFMhKUekLUmHAitqnjjF5HkChhGvSegJyPJWY+vz9MLwjL9Bp3tsYI9RIsVoYTFcpvLlVp7ld3r3e+goBoDKRBGuiW3KqgF+46CgubnKlMxTjkwInKm5ZGBQ2wDjr2OB+Ra5+WRovlNZtcPQCK7GdaL/XrtS+USulC2x4I0IQzBRspB4zvf0Pv3tIDfohHr8Q6fZoej1UK759NSl2Bkcczl2WsKTFcr5o78+Uc2qr2o3F6UMEVEunXavXPEnhNHAVHTitTm0jUOvjALkAn0UPo+FfBGajmgh1+9IqpLue3jHe91d5fX3HYEK6P4+QoYhYfR9G28Af2pswZumaBRQ+7es2flF4qTNrNreXQu0Bb44M57Qzs46iMD89MiVPQN2Fr5zpXIyy6A1wqQMUtaBLS3JdBZ28UcvL3TWrSU74O5zS37XnP+/f+6Oxs7q4Zcm+O2GU2H/b1U3ZljsR//2QR6HY3DXTnuCMrFIWOZAJG/BH/mYuKPFqsMNKMRimUhwamqZS+ZSReaxP3uCB9CIw0qDAhYhHzrUq1RK5VIRVi27W6xufyIQTu75+IArlnzu4hxUYkqJ7Mnnh7nBNN3DLapKw/lZiEYwsVKiJ6ikiTRdfJm5QlpIKPwVuGVWnh1ThITFYgqtIHixYg5LQr0QnYbfrL5HO8IOuJaDMJkdcQYlRV6aSz2XGVf5eQKO0CiSngoFt+sbG6QmbU5G5de0jFFtoeI7H5m3y/Sv++eBwe/QN48nVqHcAK1n0RvGhRuRv/kN8FnpUjaJWin9JCosMB4kPIWALVw/wwbXwUrU4N90agzNnVVcezb8+v3Wz2xrL73yP067Lvo7tjeX+FkecMiGOOJPPELnfySzNhpd026JgqDeoNqBbcf/jdoHTq4xVwCsm/+U3seRlQrrfQTr/JjzhVNT3U2WdUz9qWPjxy4twDwimqSSmdzMsv9Pf/gqmFaotix65fbuOkxucLjsDrsJGFYwmoZrdI1JhUoHjPM8DTWaUiiReeRQfyKdBYFTJRX1tVRPLfsvH5vRSsR3PLQFOvGte5pfmVxubDA1WHVBXIPJr4QSkRTl88NPJ39xzAlGhb1K89r4YiRDIUtSuXyDRXvkwmxkOSpVS5ET3ZFUlipAM16vlX3izr5L485ZB8SpaNxSJJ45N+JYcIaODTuAvIwOOVzOsNqsYng8fzpvVCuZWKFqymYNG0LuUAjmXn5ms6LR54UOQgmLDDF+HFRVvrrMVjBFbpknYgCnl2UUX4h1Btimao56pxazAXNGXYwLA2VamhD+3uY9m4y2K1FHk8SynA5nmcJMxruY8++2tZwITsE7p1dV266sQneWLuR82fhmrR1UrNHY6vHArJVQgRb/Pj6tNw4djg/v0O5bJh1VRM1McixbhNHhYYPIxLueJCmYWWE6iCN7VFu0Qn1VdZW1wYIUVmDlZ2RXVtmLcqtk/8AB5/diUV8cVZVjbNViN2KCB+UVekCsrqzfHgCs/Z/eVdthe793Wzn+PSNQSVjvGaK3DvjJc5dQTCFrYDXwR89djCYoYOr37O7QKKGDgJaOV8R/3ExhbMHX1Wg1aGQyQrTsi7oDsTPjTqGAi8IK7MX+TtvQghtHovBhikW3LxrLZFcDiWA8A1aXwxMpEvxPP7iVkIqC8fQTr4812QzuSHJhNbS7264WiLGotqOjFjnu9KLLpFPcv70DyQ42OXVGdat1TeD07OiyezUqUhHFTJ6KUKjqULh1t1XPLgNzL9VXa8PR9LELC4RYgGW3sRlYI+aqrRqMDW3b1KAyKSYcAQYYD5udCqdy3DTrSComoWIfS4KKlZ4UUBkm7SlwjYWYJMaRskUZyZ1Ve8ZSjnyBKyYYHqcspg1MWpqIMcv0SlGYxixzuJQlFkVyhs8tc3qrzXKFYDy2EmSSg0Tz2FHvQGMNp8TdVFX3emDy4ZrtNokOwli4Pjo1H5VYSAUbFUZISAMk0ghl6BNVgrf4rm99MDfeuhK7BLPoEB2Q8xQKvvQR2xdxZk/WZRCtebJd8z7AW3qRSSXQENw31RoAdyXD6cOP3p5Tpc2JOlO/7sSzZxQFdcyf9DqCXB73a9/5rFAiTMcwov7mUKHKoNz7ye17PrkdHK5rzl95+sEjUElYNxtDDLvQ+UJ7g/nEpYXz404Yx2/rrr13T2d/a3WjTW81KOdXQ+1Y3lNIvvLAdmSrZ09MvnR6ZnRxbTYwjYommTFp5SBbzSwH4E4PVwusRmGyBmt8uVweK/axJJXIULUmtWMl8tBd/QsroRlnYE0BWSefCAS66y0lpgRxmBxdqNIrotlclmRUAlEqS0P2ANM5Np1qb6e93qjJpmmNXAJCljObNqsUDAN4HUeUOhpMq/5Ym92EVIVLXxx2UFkG7aFZRsAL1gejxEgmnc46g3BMzGaoPGZ+uA55I2zHpJripJSJl+v65B5nmlWVF6RZHKJUHpMpCqJTnmiiwBGJ8pK4RUCLiZK4Q1ozGY+yeMU8j0VlhXwWWzkn4sXKFJE3CcTjZRemBe0KQ2vRGnVS2+oaLHyNxaS0SXVqwZsMLDcZe2JlGFAX4PbP2bfXynRkkVEKiK26m5yDKb8SOGKXrjXpeqFxdE2MQUDwiPusDyfzcZukLsZEwrQfuek9P3uegLcy7cEIerOxrWxgMMpesuSapZ1Dr46hB2wdbPqtbz3QtbPVbDdinABSM23bmgFd7frEVrSK73nyygH/jghUEtbNBs0diE8ser2h5OicBxXI/Xu7p5cD58aXYymqpca44A6jHdvSXnNyeLHatCbD1NFgrrOqQc5a8cWxnI9+QcDnoiJDL4Zlu2ar1qSQgmOF6RkQ0Pd01KNGEwp5nmACvltoKlHybGmz+WLp81Mr4jIXKn1VWuVgZw2S0x/+7OWuWhNqtBl38MLSKmaktXKJXCJuqzb88OVLkDPd2lWbSGSlZV44nnns03v2bLGveONQ+DIbFC+fngZC39ZggrsiAP47t7eefHZoPBCDf71AzOvpqa216RNJCokyE4StGQtVE4/ggVmg4qsKoI93lkgOzYwKCvYcW1VMqkjhKVFBU+KoGHagVMgV05H8eCLKVjJCQYnD4RU5ZUwK0SLh/7dnz2uOedEYmb1MdRdqdts6yznW/m2trU1mZKsonTGJ32ROIXR/P3sUJd4BS+dXm/aOx9ynQwuNMsP9tv6b+ajQTv7Y9X3AVS3yNa4Z5gczBdJFOtrknVEmkIN/fT4aygX4XH6mkNYI1oC/jccyuYDyav0pVvr+4uH/mc1kRRIhp7rgZTu5Ik67osdI1vzyr56973cO/sGPH0tF0zo4fOgVVU3mnn0dWw739extxzYmHjbOWdn4cCNQSVg3G895V+iZY6B1xiRiIbpCXyT51Qd3bO+u39xuQxfmDSeUMvGZ0eULE063Pw4NlnAs87PnroBqECcpPI1lqFiSZBVYVo3cYlSuhhKJHE3m80qpuJQvuoJoCdNJMmfSKJyBOLq8Rw704UInhpeglpeicnt6G5AZT405AHLtaau/e7CtQBed4XirDa7RZKNed2Jk4VcXJnbW2XZtajg/sqzXyF4+MwMtGrxLq5RAhR0AS3OdEaUc+BZNtXoyQz94Vx++ljG6eOD2DrNRAd1keJqlUlQsQYHpCgJEjlWiUrkUnFc5rO299S5XNKGNKtxSo0QrVYuywTJzVqKXy5juuDor+FrPYUVQNs1K65LltC7PFRVKHORjKM6USWHe/b8WG0qqr/4/93V3VL308tj23W0alUSrkf313MtbdPWXIssLqYBdvqbOjscuQ5NpbRxHaiaUNVJIJze1Ks3rL737T7BDJxJj/pz3bsv9WO97Pfh8nbQJwzpHQ69ATTRTJGuI2kQ+mimkoky0WdY+mRy2iNeQJqwJvho8skm9beP8ZIL86f/7BBr8opzWbpbVy5tqJQ1Rd+L4L85qzGqlVjZ8dPLVn5wEiRS0hrata9Vc5fERRKCSsG42yEvuMFDvOReUDnIDbTb8hPBLU41+ZNZzYXJlbMGTTGWxs6FKB794wOd///hJzP7+yecPQN9KTohQHyHHZYt5iikAocmAKZ0t1OiVaNDwDyoLbNAc8mU5IUxBSlQuqTVrNAoJGBIgdvY0Wu/c1oq8M77oRRZTy8WN1XqHNzofCCGZ4KKBaEosEoQypN2iY0iGzEJAkwqkM1aDAjlrYtEH7UBPIAGcn4yR81eWc6VStVkNI4kLlxwyFaRpCriWvUoHvhIWBw7t6RibdpNMHvPDIqYE5EspFJrkIgwElpwiMs7esa1ZWVbloZMcKLitTNknanabWhqqgcaVl/K3d7dUW6Wr0RhLANEGDpb52JxiL1Pzzb988B+XhqZLsb997AGdVqZSwnyaNxxdHYm7wbbE6luT/M0Jx/l00J9N2mU6jD2/8+N5KfAcLHbeuf8F/9PQloGLKppBb9ZtEluWMtP10hbIh6r56m0akAxKl6KnMW8IQeSDpvvAcScLlAY82axnPj3jppYXMlMt8s51mjvwKefkKlTDiBauvaMWSDyuyOSY0Bsy/PNDy1w+F3nKM++v76qt67JtIO7vvLHKng8xApWEdbPBfPLo+Paeuju2tiAfvTEnwkmSWcgZv35pDqSBu7a3QzTm2JWF3iYrurkphx8iMMv+6IVJV5NVN7nsXwnGsRJXgPtCqVRYywJFVGTINchlOpW0u96M/IA56gcO9aGgQnL82gNrLJ7WWiN6RgGfV2/R4NWWGgMKPYlIiLdMOvyr8dTMahDsiny5HEimoSy6vaMWKBXEql68NJMu5QVsLpIR8DXkQ384pSRgeMreuqslHEp6XWEaVFY1odHKkDlwM0adDEL2w1NumspximV/LA2DDLNRmaLzfDGfLxdjIRKa9OViGUQyz2qECuNXKZU6uPJFLvxZuztrnjky8rH9XT/nXFqkgjk+DRCsxIGZTrkc56drhT6amo2Ht5iq65Sqt9QX2KxfOC/1amwQw6qXrZnlnAsvxmgSgHiP+q1Vtqnk+MuB58GogvzeRGK0VzVw9ccGoT4osoOkfi5yYo/+9vHEFTFPAncJs7jqRf+v0dki6k2ylnORo7lyNlsk+9RbsRp4Ivyqm3LJ+Iog7Q/SvvstjwzFz63t4Snock5YFp168gKGgvIGUpAmamptWGnBRVU6hW85iFHB+u4apU4uVRB6SIm1WN4J4V99h5XtDysClYR1s5GE8R9cAk06+dbuOncwWSxBMK+A1TqpROj0xfRqGdJEh92MDLXkifgiKSGfazWoMKkDDQZA41gVxPdGp5J01Jjg4IAcB14Cn8dJkDm4geHveSiewXnmnSGlVGjUyfdverPLsBnVS54wEC4Z0o2AP+8OoexCdsNVAH5Z1ArouyPfUSQD/9QVR+SlK7OnrjhQTO3f2vSFu7esxJOnZ52gg3U1WTBovbXO2LetCSuD06thEMQkdLHOqOrbbM9kcs8eGUWfGEuQQMRmF/3oBFUqya5tzVNT7sYavc2q8XniVQJBhGEkPB6UjA1VmIFkJTN0cQsd9edTHNJXiGMAMG9kUyyqnOJz3AKuk19AyuWy80QK+oO3Vzc90NB51D8XpylQ2JG2CK4glE0d9U/fU9U9m/RPJ7w8NnePsblOpkP3uv7ZOEnHpdhZLOFdiJwZSwyBBdqt7LvarBDzPpDlA3q1V38HusLFzFynoudK7EIg5/NQzlZFFxIcFgdlfCWZT8aZyKXYafzJwMmxGtgga8ZQIaqqCBNCqsKrYGOB7G5I2y4dGam+XUeyU5OPLx9//MLE6RkEMB5KAoYfem3sU//tfve8T6KUDN7dh0/wZv8zqhz3wSJQSVg3G7+NP6HA2tHcAUE/tL0VgnxQowJ2HoilkKRODC2uBuIAgACBj8x7sAJICPkgQYBypZdJaoyqequ2oRpfRW4wkQK4LheJWmr1IC5gG76n/S1VK94YUtXXP7Vn47bwtQXQjiSFJhE7kWWQ1whY9awGB9tq9nXbbSrlrs66Sw5PJkdDOxQ5VE2I4QwoYHEDoEp4g7gW5hbvGGwZbKkKueMdfbUqQnjk5XEjLDBY7HPnFly+uFIuhtO1xaQ6N+RgUllI2MCE9fD+TiGPu7oSDYZSuHQ8Sm4fqEumKH6hCD681iAvY3plNS1QC7ISJsxLkwbMO695/OTleU4RHK1SyUzzPDxRmFfSFiLJ9LArvET5uTz2YiqsF0kNYrk/kIyw0xNxT61Mjzpom76hRWFCqlrPVs94f3UhdtaRmQdDqkZS16veXCgxaOUuxy70KPs3aJ/oBMFdwAEgWGEMcCo1ZhVXz2fm8mUa1Pn59DjBk6LaQs4CvBVjYkhqmLnuUW7WivQROlRN1AHPsoirbER9rRROHEKQHpZHPQ5mJp6Jx8/SZoMZuoAqg+qer9yhNiqf/+fXWrY00ujGC6XBu/qwhrjxYVU2bnUEKgnrfUcYFQ2QbKGAh/W+s2PLc86gWimBCfOPX7gES4hIksIsTixNYpAwVygA7UZDB7JobG2DH4wkq40qyMWQmOljs6QiAbgO3/zcHc+dnrpjS/M9u9dIEjvfrkeK+0PjOb8aRs4CLh5OZM7OOl+fXFpNJDAc+Ok9fa5gPE5mDw40Lwdj33xw79lp10o69Vu39y97IJxFJ+F8USpAHxmY1ECtJbASqWkxf/MfXtSIBFdWQovOCG4PfU1jk0kk5OOuLo0uq/kCg07+5S/sMxkUfd01JEkThCAYTO7f2wqRUh6ZDy0EhBnam6Q6WyxCmdgpS5bpcovUKKAFEPPLaQrsGJuX5WVlZS7YZiF+0cawc0hCZYpThtB9wkmtkJGnw0OFbGnBExDKeV9t2dertsn5EFnniHlr9CU3tRLMBRqkgLrtRpH5xcAzcLU5bL73eOhVpHuruGp9EXD9w4MaH+RDl8klmHchnSXzienUuDu7IuESHcquBBPFbOCFyDGbpOF4+MVsIaPg6yCL3KXom0gOS3lyvdCENyKd4W/SGhFfbP7BX/4rKY4nJrLeI4kau237vZvaB5uhxDA/vDxzcRGlltqgMtcbBu/qr2Sr9/39+WBvqCSsf0/8/umJM0vuCOomtYKgC0ULZp6VEjAz02QOEgsokQ7v7AD3KRgjVQqxXCLSq6UZkpGKeOBDRVMYLmbgCgFMCmM9Brls35ZGUA02t9lAU8QJ33lD+CahrZvyBKd9YUckitEekmHQSxoVshRFo5RZ8kbsFu3BvqbvvnABS4o7O+ubzFosrs9Oe1LBTCSX6zYbrHrl+JVlHF9jNwBBy8coW7Xel0yj1/v8p7bzSiUFITz7i/N7euta643Kao1IyAPNoh4FYIPRXqcHABeNpKG9WQym2juqth/qlunl44sBu0IypPaxFKwYhyQJmgkWwWXIqsoo2ShujkVzCzaGBdKWqFyEOGqBUyixSzIqIczoOEpHPOgohIaTqz0am1WCwWPxerZCBDCWrBFqkUfkfAUm/nbr98PJ5mX/s6BKwLCrX72ZLtHIL5CUWQ8XXl3OOKCBBUC9mqhB9gEahUUCFqsYz4cx1bxCOVaoJdRTAq6gUGbgGWQSV6HB3Ks/oP4NlWH9VGgPaXdp9VTYddanq9ZiuZDH5a7MeuKBJFKVa8KNCQSsDH75736rkq3e+d/qrd5TSVjvO8IAX0GnMmvlnzrQ11pjwDf50PY2zBiGYmlUXgWmCCYmJoHNOuXXH9mNg0fnvRjEAVSPLhIOzG12oy+YMmvkkLoChxvFy6ZWWy0Es9710Vtv2d1RP+MJigV8i1oOaQfI8v32nj7kLF6ZPerwLnmjR4cXAKt9+dBWplRc9EelQv7ZKefW5prQTADkCWGZ7cQx065XTk0vusMoo6DoQiezPTX6ydNzQ69PT5xb0FdpQu6osloLCaqGJnO1Fc2l4Pv/cmoOnjpLQZ8/jj1f+cbdHVsavI5QW2fV8UtLEq08cC4pYoS8LDeuIYuKEsfHJRRESQgFZ5oDffkESlJkjjKbXxZQbL4YvzV6KF6mQJEsGkIQWDlFnorRlFogkWKu53oPJKDR+FCqkGxVdMTpqF3WmM4nocgeZcKe7CoQLogroHME/QqkdojJoINDRvPnXG2KXqPQEsi5NUIDpgWBikGSC4yHQC40n57+fN3vqAXXMRaMB5PNfXaYS6YTpFAkNNfrJ8/NSVWSdIwMrITg3wHpq77bOiuKV9f7rG7tvkrCet/xRX3UVmeCHgOoAADaW+uMQJSw0dtcdfzKIggHcJ3paDQhhSENAXc/fnkBlRSylV4t726wYBrGH0q11pvgwoCpwP0DTRTFvGfCwl0OO7zwiv/SwS3gdnljyUf29N4z2A5mfI1J/eIwxE48APX/4tFDcSp7cnq5t87yynPDPLlgJZxAmZFJUMxKIj8VVLEF4Xhaw+U2GTRqlaS7ywbDxNnLDol8zdI1HSfnfPEcpIGL5e27W6Dl8Od/++Jjj+5+6cUxJl/Yta3pyImZjx3unV8KXrzscPriK4HE/JIffFEByc0p83lFXkKLGVWeJLnmiDzPLuboyvFnAAA1wklEQVSA4EH4gF+CsT14WchZDCnspW0RWRTlD6gMZoEOblxhKhNk0tv09QrMHt3ggfbtgapHMGEj5IqgKVpgFYfiF2dSE6vkCjDyeD5OF5l7LJ9ACwmrQR6bDzUrtUBnI+xgJIDgfpvhrgZpG9b53iivyoC3uhWbupQQU772kc3kFoed3XvaBu/uB74uJPhLYy5IhnXualscdf3hv3wF64P3/+4hjQlKNWyE6Nr3V57fyghUwv2+o4sW77rvwZIf2FI0pprzxTqLVq18o7krl/+vh3Y9fuQyCrHB7lrQEbI5JhBJ1VnUFoNCq5FbjUqUHCMz7t7WquuedmMnSAQgoJ+ZdspEQkIsBFti46XdnfVyrsAZir02ugBU/kBPU2wxnFuIHvz8tstjy0q9OuZKhGiaB5cvVj5rlZBz4Thf3P/xngF7FZXJPfon92ER80fffT0aTG470IU66+f/dm7kvz8JvgRgrMsjrqo6/e7+usd/ef7L9/SdPwKhqGIqk52YWS2V2aC/g9K+2shos2xhhk9paCjY5IX0PCfOZ/ELXAYjhOi/ysIipPvyDFdNilUk36hRejgR+GQAsM5niqliTivJW4m3yO4bv9rGxv3Wh7EN2hT+gdwAWT6gUdhokLWAs/7L1Z+ivEKHiFoMTCsd7OY5ksuJc3ebH0CTuM4OxduBylvFtmd9v5Dx1HeseRFe5wH59tV5n+NPn/Qu+FMJMuqOtW1rfOw7vw0O7eZDPTK1NOAKmWoNcs0NZeavc9LKrg8pApUK60MK5BunOXZxXiUXg/qA3hBDPL5QEo1bU43uju2t0URmbWJ5xIGJaMBJIElMOQNolO7f3YkxFE8wiaVArerNYbrr3tOSP0ox+cmVQEeN0RdLQZsPZFQcmc4yr40tnJlxgfewv6dxW2vN+WlXPMfcuat9Ztb92oxDFMy2KeSHHhzs3FTvz+RW2LRIwu853LmyGDRJJFqTco1WxuF0dFbzMrnDDw4CsVJzuUveGBpMyEI4XGGAWUfPzAkIIUsibISo/NbGJU/s4rArny9gxBKSXtAwptWlvJxL8MRZJQXpKjGLnSqUBAKwT9nltcEk+OeUilGMZLOjkmiClSsK18aSNCm5jVQn05R9SrdzcwP/N3pS143Axk7cL+QWaiT1cG+O0hEsEbYru+qkDQD2AWMBhMIB/pwbOvOoodaFGdZVkjGUE6D9UEO2ENUG4VtOHBtnxgaWZaFx/LGvrFl4wUebQO0p5ME2VaaSQpIBf41AKIXcaAXAujpoH9l2JWF9mKGutWrAWjh5eVEtl+zd1IiaaMYRwKxfPEk5ViOzy0F4Uty9B7xp7ZXZVVy4ds2vXoJxaFRtMEZFvYGluhvd0LjTv7XZhqrn9PRyp810dHyp3WZQEKJQMnN5zAVfHLAriihmsgXoyj/++hWfOxrO06gRfu++XShlHBMrA4c6h64spOIUYxTLWdy4NzH13FhgNdrcX4OEBfE5iUKMFUPcAECcKoMikCAxIO0LJnz+pMmo/MyDg4cPdBmNCkwmTc/7l11hFoeDSyLbFeXsoqbM6BmSV+TzQDnjMTmOMCei+QUOj8UXALViFygulyiU+KWyGIAWSPRFboFbSJW2NNUdbG0nffToxCrsYGuq1+C8MyGHTbI2kvnuD6DpKJqAbaE7M4pMoIMCVscevEsrNMC3tYqwjSSuLJOLnuxKhA5jMbFO0oADAORf98yZJPXtL/4QBjmI2NKIi8pkmwbq7d01te3V8Fz7h8d+RCWpJ//uCPgN1317ZeetjkClJfwwIwxUCygJqOfNtQbwHqDigH9nRxx//oPXsCYICYdlT+KVs7NN9Xr8fd7Xa3f4oxolgUYPo3+Q7nuXW/mbZ04teMNgdbVW6Q/0NqmlYn88DaVTAGpVWsXnDm2adYQ0KgJCN0DTMPKCSeZnX7gcjFKNVt3xVMSfSxxst377yZNLgYgtzdqzrZHJ0aNG4hu/fy/MEzeuq7e8mSMgSxAIJvEPEs9NduOyM1Rr07a2WHDk33/vdRSDJ87OQ5RmzhEEY7ap3nCh7DS1KiQ0bzyUtAYlLmMSvMwCkUW9AqI5D5xRjH9LiiwGFRGR1dAcOTpEDlEmdtc1xLPkziq7pIsPVv3x03PWDtUvnVdQIu3Q12/c2Lts4MguZe90cgI0CBimeqi1vwR4gKCApQ9Q54FwSXjSVB5zUeSg5rPrr1735+qs99STFwnIwPI4cJeAMcfZZy5//Ot3wg4Hx/sdgWQ4JRALMOcMEhaqreuepLLzlkagUmF9yOHFsMrf/fREIk1hWnj91DqVDNDVx/d3g2W64os1243Q7bt9U7McFHl/DDM3GI1eWo3UvWvCQp/yhds3N5i1JhXGDfkoKHa01oLGhWSHbaWcsNt0FoNSpSAkIMQL+f5k5tiZaRNgpVIR632XXd4Yt6TJsrzTPk2VZpxK3NbfEhex2mqMmA16ZwhWFwKPHxkBZSIcSSM9oc6qMqt2bWvEkVUW1e7tTYdu6/j505da7MavfWGvXifbWl0P05hVJsGCGRg3U1Dn2WgE8T8aJH5WngbzDDUWxiXZBUWRR7MFCladyJRgk3+86Y6frV6MRkkJV8iSsaStoh8vXfhYdden6ja9867eZY9eZECdBS8c1FBmsRVHBnM+upQDHbRJ1moRV2eK6Z26fXzOu2WZn3zribA72rGzxbPox0KnTCUREcKTv76AQRzUXFPn5jff2QcZmdt/a/eGFPK73FLlpVsRgUrC+pCjitk9qPF95aEdot+sHyGnYDwQ/FLIJwz21IJqMOcJDc97FlfDNSYNvsf2ap0TBOx84V0wLMBVgIpu/l6PvDh04LauLKvc1l/38K4evVL25QODDXbTuaMTtFlS1Wq5a3/vnX3N78xWDJ2/9NrkqSvL99w7gOEhCSHAWDWy1bf+6z3rV5fL1tYT0btNTnu/8fWD9TX6OmhxKSXlBOusbz7Kp+whdVZSykvyoI2uGVPn2XoO0Wky50Bn4PAesW/KuumCEiPRBRDKTvrnkHWnMv4T1IIvk8xx8/vNLXuMb44l3fzviyO1Ql2CWVPyQZJ6JfDcUPwCACz5G35fgZwXJAb4dwVyfhFXiOLrumfu3NmCynfTge7Ona0isQA1VNgT23Jn7+knLjT11wNr79vfCamG6763svOjiUAlYX3IccaXeUdvPRbdkKfWT53K5CAN+qffexmlEIfPwcxgQ5X+7h1tYFQpJSLgVqiMUG0B7YIM1k2izu9+0z87NbJKZXiYCmKXP76jCxnBG02CB3/mxFQpzdS1WGbiMU8subv92p4rHk5deX1appTc9/BWK+heMjFqt1AkyeFy9+16mxsNqsJVT1QmFWEZEfKBM/O+8XE3dGDUbnGGYeqajMv5OAosQYbHlhSBwbuy0RzQLtjJCPgNNXq4V0QiiQgL3hTFJJPNlBhsaKEVz4fFKmuztubdf8EbvYra6oj/mX7V5nppE1pFoO+Q85pLT4PWcCz0ElYjId3Xo7xO7bYG/kEyolz+wR/9HJb0cPFSGRRPfvvFmQsLBx/dd/rJC9AdhbJ7JVvdKPIf2f4KhnVLQg3b+vXzAs/60VPne1qrsIQnlYmxULh/oFFE8I+PLArZkD5nr7EqUR2opJihefK1sc/cc52v0/u9xUd29gLzGnF4v/GJPUg7FM3YTRqLSr761PgXP3/7ymo4L+GC+rBxWgwhSkVC16zXMeURS4RQZ4axAphZAO//7cmLAHT+6W8e2Th4Y+O+O3u/95NTWP/DpKHbG+vprN412HhMOTu5cH6W8jSULHQ2k+AW5FBJzTNYbVCWiEIoJ5Cy5/M+ZyQsp/gahRSuGVQxH81lQLglCgLY+qx7Umxc5f1uSLmwNQPji9Mm7xpPDMOEQsXXVBO1IDd0KN7yK7z6tOj1UD1hD5Yt0evh14fkMegL8EzFYDP4Vl/7x0fnryyBfnX1uyrb/0ciUKmwbm3YATIBuro45ppbCdVVacAghRvYnv4GpzsG8bzOZjNDF1FhXRhz4psPQfdtPXUf/IYAeL0yMn94oAWCDkYVyiChihAPHZ2K+pMHHtkG4QdRjCEJzk9ODAtKrOUh11PffrVtc73eqqluMmEtzOcMzw0750Zcs3N+sZKIxUloOre3mDE5dPW9icV8hVwEWgOqE4GM19Zj/pup13xDiRSXTIkKKzRp1KnTgrRMSPRKqryphEIoSJWzQSpVjDKsAlvFJ6JiOp8rGVOyFJsuckuYB/jH3Q/fYX5bKXf1FW9mu1PZQ5dpHhvYHg9Y+/O+X+/VH0Sdtb50eM0ZcOtXXh1LxTLo+7AOaGuz7vr4Fmixn39hyL8cRPLSmJT1XTVytRQhhVj7NW+vPP3oI1BJWLc85pCjgvVLW51xeM4DVAgCoUdOT5+fdsIQDDz4eIJyeaNapXRHX/0GTv8B7wncJ7lYhFQFuYgFX0SrkIJ2X91o6tvTijMDS/Y7QlqegI5mfnhu1Jch+6vNqRjpnPX6VyLZdC4eTqcKhVCCGpv3sTE3F0nDcQcypJjLQcO7fm/fGnsBQy7/K3BuwFBzxe8ijfRsOrAwHGxrNckFnEkqnmUVuSKGLhea1bqoB0x2CFEx5UJRwRGFBdk8rxAQkdaMIiHOpgU5q0KpEIrA+ny0YRsa5+v++pEcSfAEkRxF8PiXQ+7vTl7cZ7Vf90hkq/X9qKpm05P9qusbmubI3IUjIwCtBg/3rnne8LjIUBBxx18O55Q7FkzMXV6CNHtdR/XKrLeu03bda1V2fsQRqCSsWx5wFFmFQjGRyWEhb3452FZvemh/zydv77t7Zzv6oJFZd6PNsKW75kZf1Ju/v+cvzywHo4u+yJIvks3nXaH4pYXVUacPYJlCIsaS4sapxFIh2FhdvXVmi/ruLW1b9rbZGk3gXtG5vKXeANzdRdJ8uejOO3tW3dH77+rDr3Du0tLcYqC50QT0CueBMkymQHeoLEPOFbVI4mRHoMsuUvJNBtW5NCZt4KzKz3GpTq1lJupPp6k0P5sH6VJZYkJZjpQLuU4VQ2BGGshRjUzjykQbZXpok36ipu+6cfiL4RPHvI4enfmMz4ns/+zy9G5LXZ38vfHvHuXbpP42IoCNybNz7jnf/kd2IFVdvR+JGEJXmXgGIBh0kC8cGQaPFDYTMO9622GVJ/8nIlBJWB9F1KHnGY6lLVr5nTva0YaA5g5fP1wYPvLzziC+gS11b8qZf5C7OT7pIHMMkGZoBG5urG6vNjoCsf3dDXva6yGUfPWZgU8ZbVqZHDzO0rQrqObwho9NgyrZvsUOxCriiz/4yPb+nhqrWeVyRz9+d19bi7muRn9lzHnhisNWpVUpCRQkS+nQflMrpL/+aeFkDaEJ5lPtWusn6zeNh/2ueDxdhiU048/F7qruTLPpGD/DLrA5eRaHYfGDjJytTEhposxPsuhwLsNn80HX6tZYdhsbr5uwUgwt5HIjWapRqXtldV4pJB60d179G73fbQylQ3oBxCvoLmB4MLQaWZ50f/f3/hUl5MqMd+bSIvgNMJgwVGvBPm3oq4UyMiB5iGG93wtVjv9wI1BJWB9uPK9/tuklP7JSd7MV1ISfvzS0qcMGWikORfMDhlJ/WzVGo6//zvezd8Bu7am3aGXEhMuPNUqVVAyNB/AhrpsC1k8MelQglTn3L2dBkoKeKaQasFCI/sha/2YCbWsyo0XCwZiUBv2qtdkM5YZ0JmczalbIKGiZDQrDK97p0fgqi8s6ZO3QCKRz8XAsmsopITkKfcAS1Nm1hKSVa8lmcxkJA5PVKp7GGtPkq0pwMkxzGfAM6ELh7uqOP+68HSeEJNY7f2kvmayXa7SEtF1tgMgEj81eSSfqFe8hcfHO85BJas1WHrL6YGZA9zVGZuIkGkDUn9ZGU+uWBmSlbIYG3R/mN737OqqbLVh/wITz7OWl8GoU84NYPcRpIT36na/9uHdf+7XV2TsvWdnzoUagskr4oYbzBiejsQT2BskTesp3726HgzQkrqAYtandBjewG7zp37MbGRDQVb/dOrTkwftrDe/RNMHmXiMjbv+LB5E7kZjemdpAmr/6PiDsB2LqP/7oBDDtuz7ZvWyO5EqF2zWtPyHPQzQ1xWRVQvHnWvuPTs3s1TW8EJi6q6rbR8VWyJiLihWEJXlazEtyswQ7KoZwGHuREyFoYYfJohSIjvkWthlqB/W1V18Og+TOVAw+9XE6qxdL29RraXRAb0VheGRl1k+mTZKbnUDGzM3sxUUs/CEZ9e5t/7sv/fD3vvd5pBvPgh9z6bXtVbUd1Tj59//wccBYeFx4ceSuL94GPA3/5q4sRTzx5YlVsEaDrjCk+6DmDsAL+U5jfqvRvvrOK9u3KAKVCusWBfZtpwXBHT0guAtYaKuCUHKVDjPSS6vhNfXRWyCwC/ErMELHnH4kIwzqvO1WrnqCtmjc5e+tsyKZYpbwndnqqmPf2vz1s0P7d7dsGagrkqWcND/nDZajRUqaTxQpPotnl+qOehcmkkvga6QK1GzKt8/cOhX3bTPYDT4561ypakA1aK2XeHguOiQqc3ekjZtaGwmBsEaq/s7MmbGo52DV2soAHs87Z/74wsuTsYCML0SSsiveGl3CvRbKpflEuEH51s71d93o58LwMgorkELhLI9tg00HxH3nfZtx/OjJaYDrqLCw3b+/E+mse3fr4F29fmdo9MT0ypwXuB4AeDKd7butA4nvyivjI69PQR4LPSNIDze6YmX/rYjAdcrvW3GZ/5+fE9MtIGQ53BHYO2Mbf7Qx9IeuDbSsWxSZXL6AVKiWrk0y3+iBqWlUZBj0udEB193/+1+9HSTSTb21WrUUYsfZKD1grr29qk0vkh3xjH/hzM9Gkg70twougeJLyZOOhH1/0Hbg6637ElPUwYFanVm9o2Ccm5kARVZAs0vB/JnFuVc8s+0q823mxruq19xP1x8LyUiTSqcREFdC7irpteBRm9qInDUa9iVhn/jGg8wz+H9k4ekLi+js1neu/0RDhxIyGUmjpEI+Qm4CrI609c37/kfIE0XqCXuiOBIZDfsvvjgCSQZwR3MZWqGRPfqXD4MjAV8c+B3ZWizrzaNQIkhFM85J99VXqWx/BBGoVFgfQZDXsCrY3MP+C66oSFtOT/TnLw4trkQw8Izh4VtxB0qJGCQsuLea1fIbnR+FGKYaA/H0ukzNjQ670X6Izwydc10qO69kV69EnGE6U8/V3S3oKYiKxqSopBCk8oUH6/q3G+o8ZLKZo0uYqUKxOMOP7mlpPfrNV8kmyDiUIy2CWJb8s75D2y323aaGevlaxeQnUzKBsFtromCLxiojW3Vpr7WVR0gBZgWyaUBmi4nIUir67fGz/WXtyLEppBs0esZa/Tr6lmcKU2fnhGIhGPxkigJwrjGr4qEU1v5M9cbxU7MLVxygsCOdQdAikyAFmMRcDiKpjZ6YevnHJ/E0FUlDkaKq2Qx0D+TSdDRtrNHB9hnyGJ07PhBr7Eaxrey/UQQqCetGkfkw92OVEGYTNrMaGQriolqVZNEVwrxh9a1sKHQKKcSz9FBHFtywhsKM4bQ7qJISkht3jjcKhC+QGJv03NvWU2ZYXjpp5Su38Rsg4Hfu/JJh7n+3d97RcVdXHtdIml6l6dJopFHvxbJsSy6427hicAwhwC4b2NTNZtlk2ZJANuwf2RQ4yYbs5iShJAucJSbe4G6Mu7EtSyPLtnqzRmVGGo2m96K9XiUKxZAEF/Skrw4Hj0aj3+++z73++r33u+/eqZTWwMKV5WqRuFZt/HnX+X3drQ18w6vhK1wu77U+s72cq8lJp+yKb1XfvTZo5HqndMbfLe7ogeAVh23I56a50vHhvrbJMXpORymr6XQQmQ5S//7r6qSN9rCopHKGSDbeaWsJjlutDvXoVEm1qWxJIZ0B7L08qMpMpy32HvMASdiiDVW0DJx5zEcTqCtnu6i7dTgUsXRbqVa9y+7Z8viaghqTa9zz62f3K7TyaChG9zx/wBzyR2h6RZq16O5qTZZquHessDZ32fa6CwfMtE40lf2Ryou/Nxl/3gICf4iAW3AxXOJPIEArNSq48DefuetP+OxNfYQSr4xqRXPv8NqqAroQrZI+uEsVjERpy5lmKx/jq7Qo44kvUjtGwcp4Ud4V1U+GT9DmlEmoirrD3WFXuMnduibB98X32M54C1J8U+E3x9oC3PiQcyRDJKeDSk5B5LHsZfSQkVMz1XT0KrXMoowKMuPvzuyjul7BeMwRCmSIZeaJEW5Kijuif8vSkyYQ1VC9Qf71MsrZ0rQel4ObnNzvcv/QfGZSmlAKRMdz3f3PHxkbckgp8ULAPfTSySf+87M0XSpf+odzSNMjVWhkOsrPyEjLyNH0tA7osjUp3GSH1UmbViM9tk2fXe13BQoWmHrM/Ylowj3u1uWo4pFYJEjdO+KZeRp6nkjX2fLXa3OgVtNA79T/McO6U6Q/iftQp3qqU9o9au8atdNTPI38PRVN6UjNqfZ+EjU6jPzxrKPkDOo1/88te4annJaQ49xk/3FrZ+6AKLCMpxLL2v32MW7QqUqUqPWjPhdHwnPSpCUpoRJIEuKptZmF7liEytCo5TLPsIsWbula+bOXTlNmQ597cktO0XcaNu+91u6PRgtk6Y3jww8XLahS6YSpv5st8pJTGnv7Od2eQat9MObxxyJ1CfVp31CxnW80af/yqZ1Lt9auf3g5ZcNeONi64t4bnNAsbSg8/UbjmGWCyvHsef4QNeVI4aaW1Rf+8tu7BWL+peNty3bU0XqQpmBSpWS0d4wsJMWnvK3l9y6mtSERU2iupzjg604SgGDdSdp3+l60u0+l/nK06ZSTRcqVr3/PM7VzXYOUF7ao4KZWNFS79A1Lc5FMqxRIPqVfqLJIJnyuBdmms0pXXkYaVVlXJImp2x8vMNUTneSmUH33qRJp5g5TJU2U3hho1fLla7LyBztGaU5E6zUJT9BiH/FFIyMB9zWPs9s1YZQqzBOjddrMSxPWVZl5RJA6Zfzs4DF3s9Xm9Rzl2g6HLN6UeOmlKT43WZ8QrsjK7Wu1tJ3vSUhTJXz+2TebhVIh1eSjRIT30Sf1oWQreuRHy0Onzdl/ZTiFqtGHY1UrSmwD9u1fXPc/393b2dR/6WTbfV/ZRJtWdKKQbk1pWTTJyim/KWjvswTf/ukEIFh/OismP0l1I6iuvFQo6LFOvPD2RepmSD11DjZ30WY8FYZfWZb7Z5XZ+iAC+mtP3W4aHYMXHQOueLA6kEVlsJoC/QFpIpo8pQyLOHyONkWk8Qsbcgu/tWiD2TG8JbvkXlPl6z2XhwLOx0sb+ntGnx2+2MHz9Homt+WUfNd8kvaqnOHwhTFLgz773txyo0ThjoQ35xQZJP+ftBmN//bI+SaBK1+hTNGJdVKZwp80kh4TFKVLU3lcjcguivbu6+g80XXw5ZO0lW4qM1JTsjGLQ6GR0lkoWirOjEIkFVI10Wvtw1/7+ecXrC5bek8dZSpwuVzrwBglOlzftk/mFFSbxocn337lNB23/MqP/4ra55z534uRYCS7xDC9lqYk+Beffp22t2Yuixe3jwAE6/axnUVXppZi/3HgLHVRdfmDwXBMq5BSkYWF+VkfLOD3MYyWcAX9XnuhTFunMnX02taVVY4PjS+Ia2Uy5WWbVRLlOunvt5S6ek0dGb3a4R1ZqS0qVejsAb/ZNWgSqt1tE/m5+q6g8zv1G+nux0b6XeHQgNdBvewzfzxo5MvevNZuytbvzKuY3oMjARbw+QdtPcd6upoS9rRAcnFcnt/BuRqcqIsor0YdBgun/2xfFeVS3U078FmmMgPt39GxwQuHLi2/5/1HCylltPVk+2ifjYrzUdLDq//+28WbqmkmtXzHItqGp+wIym4vqs1dcd/izHxtJBShp4eUn2XpHPF7gvpcDTWkOPTSCUOBnir8fQx0+JU/lwA23f9cYkx+3k75X9E4pal//d67Pjo56+MN79H8pfSLIwHX/sRljVriKuD2HO/MtmXUiJWd6oAnQc0ogpv15b5YiJZ4P+46esU1bJIok5Jj1kH7QpFqQsVTRoRf2Ls79bLTaoxbU4OkFHdr8sseTM0rMkb2tbhbrMeHLo612x58chsdqXm1yyyg1orZmW0pLrfNU1lRsunB7bHnXnst2F16Om5usZsqsrwOH1/MV6ik0xvkdISTNqFuODrKaNf8/zNKKm9Ny72ffv2/7SOT5Q2F9Liwfuv1msjTv0V1Zi6fbG86cpkePlJtrKunO9vPdVEv1cw83YZHV97wynjzlhPADOuWI52NF7xqseZnqN661EOTlCrTrTwM9O7R/qjzWENJfole75wK9vM9n1tyFy3cgpzoXxc3mMSae0wVyzT5lF/69fKNy7V5FemZa5Ulr1xqWlCRn6VMP9Dbcc05yZniBDSpTrc/npRUPcyvX1wi1Enzy7Pf7uvmK8Wf2r6841zPC0+93ht23msqX5VXOLq/p6s4SaaRUe2aI5FhQ5JooyqPWslTeurYoD1NI6MJFGVdkZFUeoEO07zb2pnXtPqbfk1walaVkVZScVFKiKfkrOn09+mf0olC+pYSR+lhYnFdHtWcsY/QMlO24r4lkukelDNXxIvbRoBaBbwnJ/i23QgX/sQIkIOPtfbm6tMpQfR6M4jb80WB9Gz7UYt/0ihOy5Nq9MK0n3Wea5kYoSlVkULznYVb331b6jpz+UzXSXP7QKrPZkpdojS4hl35OfpztsFtMcNub9/FqfFMy1S5QqM1qOjsNGcqqU3g5dhDbkE85g5v9evDgUhZfcG+yd6XHe3JsUR+kjR8aHhjXnG3x85NE6RSs9kEZ3VuUe3q8mnBmr57MBalDTI62fNuY973miZZZ/c2UQYDPSWkPKz3/ZS+pcqL3/vsf9K56JW76kUykUz5nmevH/w83rmFBDDDuoUwZ+ml/MFwsUGTJhZ+9F/Um7SepiddnrF8mWbY78yRKKlQjJwvjMWnHi1clM4Xj4d8Mq5gJimBJjsHXjqVW5ixfVmdvMVvFMpOBUd0Qb6GupRxuBcmh++Kqxu8aZdfNgebbSNnBmL3ZflHPe60JJ0u/fubdtBDup646+ddTV7qzOx0B2XJkcmgwBX3S5J8Dp+UK+C64umLM0fe7lOvyvlZd+MSbfaBoc4ihZqO+3yr6fCJUSqtZRCn3viUJaWpZuRqqbwM1SC9IRMaKW3Ply8rpjM9fNGNL3LDX8SbN08AgnXzDGf7Faj83p0xsSY9q0yRQWd0Lk5cW6kvpE6oGRLZQrUxR5r+i+4Lvx641Do5Sj3/DOLrBwNrV5cVlhvT1DI6xydIThVf9r/p79+QW2x+6aLUKP/7HZtO7WlsXBzPuLswaVf2W0M9Nk7ge6u2eSPhAe/kc1fPXElMjsT8Y36vKsoL0DQoEEtv8hld/BKtfmFV4Ze+eX/HwFDPtdFcgaJd6KVp5fNtZ69MWilPot059lDhgor095/1eTci2n2njPYPW0K++5N4fYcJQLDuMPC5fzu9SHHZObxCe70UH+WIXrAPPm0+fH9uzZfLlq/OKJhWqxkKTz3wo7FBB20MaYxKgy3Zbpsc93sX5eTwFcIXuhuj3oh830SKNewypnKpM3ZyMq0x6Qhhhli+PruQs8di5QVsmUmUE6sfTVqWpPU7/ZXLiqhdUNgfCY1644XS9t6hc9zxd8YtVF6ZDlHTEcXN2cX35JSTbTM23PAF1OqGWD7xN7GH9Ym7YC4bQNtnb4100eKLal19cJxU6vPQr05Twwsqk9BlHjDk6UZ2yIPOYFeqW5Umc4251Uc82hFOfKkytkW3o7iKMhtIreiajpCf6o7+4NTR1MSUS5TgBpNEA+GdVo1cJaMNJoVa2ni4Na8i218tcfVORsok7YrAcr3pgKXdEQr+a936XJmyTo3Mzw86hIF3MMNiwEnsmmieGArEItUqA7WQkPPe32KanruV1OVlmjRJiSlKcXIFg+WcdEmV+ho/UKjX3rdgoakhJz7sr9lepdDJNRIptZ9I44toakTTpT6vI1ugcPj9+rFkriua7RMlhCkjpwZS+Sk7vrjh7VfPbn5sdcnq4u/5m3OV6lhKEtV1EPP4o0FPl2t8uT6XjiKyS3U+W367nhnNZ6YY+zQBkqqzYwOeaOiktbfFMUyHBIf8zl6PvdFu+f7l4zOUouEo9aQory8IRiO98sCSisKNuUV04PmEtfdFi3lwm9Rn4k7Gg6/2tNCBwenfoqzNPf1XMzXKEpmqoVdULtJak/z5qwvX/2ynLkf7m+cPu67XirFcsFsCSfGDzt4aTYaIy12ZkbfBUPjF0oZQ/MYJWTMm4cWsJXCHtmNn7fhh2O0j8EL3hWgiUa/J0QqlX29888dtZyLxWDgRq0zP/IuCP2ScUz5nVoHOPD6cvETJGfD5jw0HK2JakdQa9NBWVhEnfe9gG60EeZzUp5ve+s36R8aDPnqHqtD8srPJ1W7X5gicnY41pSWPb1x91NLjrZMtr10SicXP7W9ZYFrKpebPMU5gIrA6M+8Ny9VadaZaKDk+2rfeUHj7Bo4r3z4CmGHdPrbz/cpfKl02HvTSLvtzV05syy4b9E1OhAOuSEjM5ZJs0Wb8NCDawLqW5D13uXOdqfjpb/+VvXP8GzVru932r5Quu4treEBTUaLQlit0jxbXUdYmPew7Ze0PxeKL1VklEnVCktIh9AVUKe909+42N4fHfEKpIGXAn1diWPeZZf9z5vynBYVVQcVee9fIpZGlIY2SL6a+O39kv32++21Wjx+CNavdw7Rx1MCB9toPDXUuUGd94cxu2iynpMv78yilINMbCdkCXm80TKdhhkKek+a2Sq5616PrVBlpO57cdNo6QMvJTre92Tuq0Mup6Og47bIPd/V6J05b+2kTKjmJs+da22Q0WJSVQedvgln8SqUu2u06aOkWeBOd53qC/pBPNPX5RcsSb1iqBgVPlC3/8rb13KNjnytaQhXi41NT1MaCabbz1nhsus9b19+Jgfd47L/sbaKOOOFEPJ0nJKWgqdMZW99ClbE8Tf9t8xGjNO3i82fTyzUWp1MUSpYbFf/R/Q59vtczQTMpTUxwNj5qDXiG/C5q1PpvdXdHE1PVSkOhQtVKB2QiQSpcVSXVhh3BAq/g8ce2DHqdRU4hVV4vbyjyDDpLqnID7mCaROyTcnb/15H6uhISRIVcsiYz3xelRofYD7kTMXBr74G0hlvLE1d7D4FV+3/iDAU2Z5fSjKlx3BKMR4sVmqaJITVf8i81a2OJKS4n+d/37jP0c2zCkDeLq04VinPSLjlGaA6l40smXd5iQyYd+qFOX3Vq40lrf6ZI1udxpHJSLF4nNYIORKLrHKrldWX2ocnQmI/qvSir9VVFple+92YX37upoIxqXdHzR1mFZs+pC1f/9ZSxKOOp//7ye0zEN0wRwJKQKXcxZey58WtUF1TC5dF21XFrj5wvyJcpO1y2LVmUt5l0YdzS55lYKMooCcoeWtqwVVUkska7hb7m8SF6nhhPmvK6g4nJ6ETQVyXWTri97ZPjLqdXI5TeZ6pcojVKeLxoPLE+oKvNMBbkGxpWVYqLlfsME6RWtNJM3Zg5Wsqt3VBRVGsKeoNasbRL5vf/fUGaStbV1M8URRj7HgJYEr4HB765VQTGgt7X+1sL5erVmQUtjlHaeqdJ1ljQJ+eJaDlGWVGuaOCe7IpKXebmJbUFpcYlS8pOh4d9iah+khdJxOIpSVPJSfohzlZDSfZgCscaHoi70lTyRTojFfkjSfpCab3anqTwcerWV7Y5xy6MD7082npXRm6FUn/KOpChUJyzD/JTuJkSuakw8/zY4JDf/YS2joorUM/BWzVGXOfOE8Ay/s4zn/t3fLr5EG08bcoq2T/U0Twx/A+VKymF6rLDSk/oXu5pLEnT0MKQJl/T52Oo8Ms0kUQqRy+VC1M5qWGeKxy8Xtp4xD5mHomOJPyOSXd10oQg2uua+NHE+FQ0fmlk2DJsK8vPDlg6xVyeI+DjJ5LDzlDnxBgJ4sqM3F+s3EUNLA4PdVNfe8qKeKp2bcgRGOkbm/v05/QIIVhz2r2fxOD2XLvyt+UrFDwhFT+n+ssrdLly3vU+N6v0BZQL+mDeQkfId3S0+6G82v2WtuW6XDoOPW2mxsvzJgUnEmF+OImSSDUXooZMtTEk/vxPH9i5+0VX3J0IU0uu0UpO+nlz5/gC4SPGaoUmLRqJFkUkB1rND3JNI57As31v5fMUr77S8xff2LFIkxW1xQ8NdX2t6i4qFDHm8E43j/gkqOCet4YABOvWcMRVZgjsyKmYfv3c1ZNfq1g18zAujS+kjXMSMjphM+J3X3FaV+rzbQEP1XKgzz/dfNiRFMzvSj6RQ1mfkRqLRGyP5sslsXiYusPv3vno/Ude6XSNlRWYtuSW2ZtHeFN8q8MltcZlU9wWZ/sDxpKFGyqG/a6f7L9Ce/lf+sf7p22oleqX1uVMv6b67mLZdenEF7sEsOnOru9mu+X/VLV2Rq2mbTWI5bQHT2W56Chfy+SIUZI2rVb0088V13dEHa4yfoUu4x5jqTs7RVmpXby24tP/sE0iF1EOl4IvWKzN9sbDv+hqbFhUxuWklOsyVq+u0ejSXXZvfpWRajmIPUnPcOp+sH7HTK2r176/b/rWdCiaqrDP1Due7exg34cQwAzrQ8Dg7Zsm8BH1AqnZ12JV9gKVYeYmtMm1VmKSJ/PXlFeUSTWOfNc3W47k1+cpFddLqlMVUJVQPOxzfaawRikQS6pTz7xhW1lT1nW2d3LcHfAGqYuXbXCi82JfXoUx7fftF1tOtFMGKf06za2o8VdySgpVOp25I16wSABPCVn0GvM2L9HkLNPl0q77zEh2D7RmK5TWdmvHT82ldXm6bJWiK/yrfrPEEu1ttVD9vkfXrDhlu7Yzq/zKsXYqTCweiRRVZo8POX79w4O0bd/dMkC1vtN08uLa3OlrdpsHqGE96Rc1JTQfa+sy94cCESp5TH26Zm6KF8wRwJKQOZfNEYOpy/zMSL7beuLc2GBtpvGr924SSwSv/mAfNdqi7jj8PWNKfVrV8mIuN5WmSP9iWnZmb3MSh9Nz6VpKyvVfH2gfrltXueGh5QNXh3n81KplxdPXtA7Yh7qtNO3yuQKXTnYYizMe/7cHlDp5OBB2jntm7osXzBHADIs5l81Bg/s9jm8uWJdO8x8Br7y+kP70OLzRSHzNriU5pZlCMZ+aQnc1D9CiL7fM8M5+szRNTO0Cfc5A2/ne/quWh57cRm1yqI1gyB/WGJQEyDvpo2XgovWVJ14/n6aVU5NUelOhllPbGzl6RrAcQX/4V47lUcB2tgk8XFg7s+ElSxfX3FVC8yBqDW8o+N3yjZ7u0evF6yupK6osTdqwuaagOnu411a8MHfjw8vNx9vMx9vFMpGl29p6qvM7n/0vdVZ6LBqnx4tDPVaaXhEdWjxefOsy1Tgd7R+n+hBs85rH1uMs4Tx2/iweOolRcjJ1r9F8mI0vPbNn+bbaC29dpv344rrciVEnyVlyakrz21dp9+rMb5see+Z+avU80mtr2FZLahWPxELBCKmeNktFvaPpyE5mnvbDLo73Zy0BCNasdc18N4z2sHgC7g0pRMKxAy+eaD/f29c2tONza3kins/pr1lZSvOvgy+ffO0H+8uXFPRfsdCpaa8zIBDxDIW6ZE7yrr/blJmvG+0bO3eghdqg5pZn7fzbjTQvu+Et8ObsJADBmp1+gVV/nABlM1w5203ZVX1XhtK1Ml22umFLzfNfe4WePR7b3RgNRXJKDU6ba/n2hQvWlPvcflOpof/qECW7U/N6amH/x2+AT8w+AsjDmn0+gUUfSWBsyKHNur6zPjY4ka6Tv/zMnkm7u2pFiUgi2PfCiXiMutwnpaYm82UC97gnvyabGnb5PYGjr72z7sGl1GJen6P+yMvjh7OaAGZYs9o9MO6GBA798hTtrz/+zK7H6r5BetSwtfr8/laJQkxZCzv/ZsO+F0+OD9opNzVdK6ct9jWfblizqz7gDVUuLaKCWfhimgDSGph23zw1Pr8qe/8LJyjZqn5zDc2zaK134fDlaDQa8kdoq55SQzXZql1f3eSwuQVCHu3Hr32ggba3oFZzIFyQ1jAHnDgfh/CV5x6Rp0tOvtFIFWN+/cPDlIUa9ITUhuvnqK91DJctzqf/jAV6mmE9/OR2qow8HxnNxTFDsOaiV+fBmCiLneSJjt3UrCrhpHB4Qn7tmvLPPLmVulp4nP6JEefZvebcSmNOmYEeEc4DHvNliNh0ny+ennvjrF1b8ZufHEnYEjqjsnJFMWcqSSQRFtTkFC4wbXxkxaTNNdg5KhTzKCd+7o193o4Im+7z1vXMD/znT+0+9KtTMrmofusCrVFFBWR0OarMXC0dnE7l/e5fYkrFoj0sdeb1pSK+5gABzLDmgBPn6RAEIu7K+xaf2H2BTjhnFaau+lQ9/wOJplSFGWo1l+IDe1hzyZvzaCy0VzUx6iqsyV62feFdOxYd3934jZ3PnfzNxXmEYF4OFYI1L93O/qA7Gvu7zAN6k+arP3zk7N7mxRuq8iuNpYvz2B8ZRvBRBLAk/Cg6+NmsJfDsl1+saCikM8w01Vq6rdY57q6/uxqrv1nrr1tlGDbdbxVJXOfOEfjRE79KU8sy87W00U53pWJ+VPGKytHcOQtwp0+IAATrEwKP294EgUunOqpXlNAFEompeDRGNUi5v38seBNXxa8yQACCxYCTYCIIgMA0AWy6IxJAAASYIQDBYsZVMBQEQACChRgAARBghgAEixlXwVAQAAEIFmIABECAGQIQLGZcBUNBAAQgWIgBEAABZghAsJhxFQwFARCAYCEGQAAEmCEAwWLGVTAUBEAAgoUYAAEQYIYABIsZV8FQEAABCBZiAARAgBkCECxmXAVDQQAEIFiIARAAAWYIQLCYcRUMBQEQgGAhBkAABJghAMFixlUwFARAAIKFGAABEGCGAASLGVfBUBAAAQgWYgAEQIAZAhAsZlwFQ0EABCBYiAEQAAFmCECwmHEVDAUBEIBgIQZAAASYIQDBYsZVMBQEQACChRgAARBghgAEixlXwVAQAAEIFmIABECAGQIQLGZcBUNBAAQgWIgBEAABZghAsJhxFQwFARCAYCEGQAAEmCEAwWLGVTAUBEAAgoUYAAEQYIYABIsZV8FQEAABCBZiAARAgBkCECxmXAVDQQAEIFiIARAAAWYIQLCYcRUMBQEQgGAhBkAABJghAMFixlUwFARAAIKFGAABEGCGAASLGVfBUBAAAQgWYgAEQIAZAhAsZlwFQ0EABCBYiAEQAAFmCECwmHEVDAUBEIBgIQZAAASYIQDBYsZVMBQEQACChRgAARBghgAEixlXwVAQAAEIFmIABECAGQIQLGZcBUNBAAQgWIgBEAABZghAsJhxFQwFARCAYCEGQAAEmCEAwWLGVTAUBEAAgoUYAAEQYIYABIsZV8FQEAABCBZiAARAgBkCECxmXAVDQQAEIFiIARAAAWYIQLCYcRUMBQEQgGAhBkAABJghAMFixlUwFARAAIKFGAABEGCGAASLGVfBUBAAAQgWYgAEQIAZAhAsZlwFQ0EABCBYiAEQAAFmCECwmHEVDAUBEIBgIQZAAASYIQDBYsZVMBQEQACChRgAARBghgAEixlXwVAQAAEIFmIABECAGQIQLGZcBUNBAAQgWIgBEAABZghAsJhxFQwFARCAYCEGQAAEmCEAwWLGVTAUBEAAgoUYAAEQYIYABIsZV8FQEAABCBZiAARAgBkCECxmXAVDQQAEIFiIARAAAWYIQLCYcRUMBQEQgGAhBkAABJghAMFixlUwFARAAIKFGAABEGCGAASLGVfBUBAAAQgWYgAEQIAZAhAsZlwFQ0EABCBYiAEQAAFmCECwmHEVDAUBEIBgIQZAAASYIQDBYsZVMBQEQACChRgAARBghgAEixlXwVAQAAEIFmIABECAGQIQLGZcBUNBAAQgWIgBEAABZghAsJhxFQwFARCAYCEGQAAEmCEAwWLGVTAUBEAAgoUYAAEQYIYABIsZV8FQEAABCBZiAARAgBkCECxmXAVDQQAEIFiIARAAAWYIQLCYcRUMBQEQgGAhBkAABJghAMFixlUwFARAAIKFGAABEGCGAASLGVfBUBAAAQgWYgAEQIAZAhAsZlwFQ0EABCBYiAEQAAFmCECwmHEVDAUBEIBgIQZAAASYIQDBYsZVMBQEQACChRgAARBghgAEixlXwVAQAAEIFmIABECAGQIQLGZcBUNBAAQgWIgBEAABZghAsJhxFQwFARCAYCEGQAAEmCEAwWLGVTAUBEAAgoUYAAEQYIYABIsZV8FQEACB/wNd8G6y6jJjlwAAAABJRU5ErkJggg==",
      "text/plain": [
       "400×400 Array{RGB{N0f8},2}:\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " ⋮                                               ⋱                        \n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)"
      ]
     },
     "metadata": {
      "comm_id": "8953558e-1f05-40dd-b572-0c07f96f0499",
      "reactive": true
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "",
      "text/plain": [
       "Scene scene:\n",
       "Dict{Symbol,Any} with 27 entries:\n",
       "  :screen                => name: Makie…\n",
       "  :scatter               => Scene: scatter\n",
       "  :mouse_button_released => <Node: 0>\n",
       "  :mouse_buttons_pressed => <Node: Set{Int64}()>\n",
       "  :time                  => <Node: 0.0>\n",
       "  :scroll                => <Node: [0.0, 0.0]>\n",
       "  :camera                => <Node: :auto>\n",
       "  :buttons_pressed       => <Node: Set{Int64}()>\n",
       "  :window_area           => <Node: GeometryTypes.SimpleRectangle{Int64}(0, 0, 4…\n",
       "  :theme                 => Scene: scene\n",
       "  :mouseinside           => <Node: true>\n",
       "  :mouse_button_down     => <Node: 0>\n",
       "  :mouseposition         => <Node: [0.0, 400.0]>\n",
       "  :arrow_navigation      => <Node: :nothing>\n",
       "  :key_pressed           => <Node: false>\n",
       "  :lines                 => Scene: lines\n",
       "  :mouse2id              => <Node: [-1, -1]>\n",
       "  :button_down           => <Node: 0>\n",
       "  :unicode_input         => <Node: Char[]>\n",
       "  :window_position       => <Node: [0, 0]>\n",
       "  :mouse_buttons         => <Node: (0, 0, 0)>\n",
       "  :entered_window        => <Node: false>\n",
       "  :button_released       => <Node: 0>\n",
       "  :window_open           => <Node: true>\n",
       "  :dropped_files         => <Node: String[]>\n",
       "  ⋮                      => ⋮"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Figure 1: Brownian motion path\n",
    "\n",
    "scene = Scene(resolution = (200, 200))\n",
    "lines(W, linewidth = 0.5, color = viridis(n))\n",
    "scatter([W.yy[1]], markersize = 0.09, marker = circle, color = viridis(1)) # starting point\n",
    "center!(scene)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Figure 1.* Brownian motion in 3d. Colors indicate progress of time."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Lorenz system of ordinary differential equations\n",
    "\n",
    "`Bridge.jl` is mostly concerned with stochastic differential equations, but we can also solve ordinary differiential equations\n",
    "$$\n",
    "\\frac{d}{dt} x(t) = F(t, x(t)). \n",
    "$$\n",
    "\n",
    "As a stochastic differential equation can be seen as ordinary differential equation with noise, let's start with an ordinary one and add noise in a second step. \n",
    "\n",
    "The Lorenz system is famous and nice looking 3d system of ordinary differential equations. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "F(t, x, s = 10.0, ρ = 28.0, β = 8/3) = ℝ{3}(s*(x[2] - x[1]), x[1]*(ρ - x[3]) - x[2], x[1]*x[2] - β*x[3])\n",
    "x0 = ℝ{3}(1.508870, -1.531271, 25.46091)\n",
    ";"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that $F(t, x)$ returns a 3d vector, we have written the Lorenz system as vector valued differential equation.\n",
    "\n",
    "$s$, $\\rho$ and $\\beta$ are parameters governing the system. With following parameters chosen by Lorenz the system shows chaotic behaviour:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "s0 = 10\n",
    "ρ0 = 28.0\n",
    "β0 = 8/3\n",
    "θ0 = ℝ{3}(s0, ρ0, β0)\n",
    ";"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute a solution with \n",
    "`solve`. The argument `BS3()` tells `solve` to use an order 3 Bogacki–Shampine method. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.00077"
      ],
      "text/plain": [
       "0.00077"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "U, err = solve(BS3(), tt, x0, F)\n",
    "round(err,5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(Bridge.SamplePath{SVector{3,Float64}}([0.0, 0.0005, 0.001, 0.0015, 0.002, 0.0025, 0.003, 0.0035, 0.004, 0.0045  …  4.9955, 4.996, 4.9965, 4.997, 4.9975, 4.998, 4.9985, 4.999, 4.9995, 5.0], SVector{3,Float64}[[1.50887, -1.53127, 25.4609], [1.49371, -1.52859, 25.4258], [1.47865, -1.5259, 25.3908], [1.46367, -1.5232, 25.3559], [1.44878, -1.5205, 25.321], [1.43398, -1.5178, 25.2861], [1.41926, -1.5151, 25.2514], [1.40463, -1.51239, 25.2167], [1.39009, -1.50967, 25.182], [1.37563, -1.50696, 25.1474]  …  [0.50237, 0.918763, 9.50489], [0.504457, 0.922959, 9.49246], [0.506555, 0.927176, 9.48004], [0.508663, 0.931413, 9.46764], [0.510782, 0.935671, 9.45527], [0.512912, 0.93995, 9.44291], [0.515053, 0.94425, 9.43057], [0.517204, 0.94857, 9.41825], [0.519366, 0.952912, 9.40594], [0.52154, 0.957274, 9.39366]]), 0.000768832133378928)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "F2(t,x,_) = F(t,x)\n",
    "solve!(BS3(), F2, U, x0, nothing)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "400×400 Array{RGB{N0f8},2}:\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " ⋮                                               ⋱                        \n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)"
      ]
     },
     "metadata": {
      "comm_id": "97fbbebe-5cdf-42c3-88a0-0c5be776c5f0",
      "reactive": true
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "",
      "text/plain": [
       "Scene scene:\n",
       "Dict{Symbol,Any} with 27 entries:\n",
       "  :screen                => name: Makie…\n",
       "  :scatter               => Scene: scatter\n",
       "  :mouse_button_released => <Node: 0>\n",
       "  :mouse_buttons_pressed => <Node: Set{Int64}()>\n",
       "  :time                  => <Node: 0.0>\n",
       "  :scroll                => <Node: [0.0, 0.0]>\n",
       "  :camera                => <Node: :auto>\n",
       "  :buttons_pressed       => <Node: Set{Int64}()>\n",
       "  :window_area           => <Node: GeometryTypes.SimpleRectangle{Int64}(0, 0, 4…\n",
       "  :theme                 => Scene: scene\n",
       "  :mouseinside           => <Node: true>\n",
       "  :mouse_button_down     => <Node: 0>\n",
       "  :mouseposition         => <Node: [0.0, 400.0]>\n",
       "  :arrow_navigation      => <Node: :nothing>\n",
       "  :key_pressed           => <Node: false>\n",
       "  :lines                 => Scene: lines\n",
       "  :mouse2id              => <Node: [-1, -1]>\n",
       "  :button_down           => <Node: 0>\n",
       "  :unicode_input         => <Node: Char[]>\n",
       "  :window_position       => <Node: [0, 0]>\n",
       "  :mouse_buttons         => <Node: (0, 0, 0)>\n",
       "  :entered_window        => <Node: false>\n",
       "  :button_released       => <Node: 0>\n",
       "  :window_open           => <Node: true>\n",
       "  :dropped_files         => <Node: String[]>\n",
       "  ⋮                      => ⋮"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Figure 2: Solution of the Lorenz system\n",
    "\n",
    "scene = Scene(resolution = (200, 200))\n",
    "lines(U, linewidth = 0.8, color = viridis(n))\n",
    "scatter([U.yy[1]], markersize=0.4, marker = circle, color = viridis(1))\n",
    "center!(scene)\n",
    "set_perspective!(scene, perspective)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Figure 2.* A solution of the deterministic Lorenz system. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stochastic Lorenz system\n",
    "\n",
    "A corresponding stochastic differential equation has the following form\n",
    "$$\n",
    "    \\frac{d}{dt} X(t) = F(t, X(t)) + \\sigma(t,X(t)) W(t). \n",
    "$$\n",
    "For the example, we choose $\\sigma = 5I$.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "σ = (t,x)->5I\n",
    "X = solve(EulerMaruyama(), x0, W, (F, σ))\n",
    ";"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As the driving Brownian motion path provides a set of time points `W.tt`, the argument `tt` is dropped. `solve` has also an in-place version `solve!`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  0.000367 seconds (4 allocations: 160 bytes)\n"
     ]
    }
   ],
   "source": [
    "@time solve!(EulerMaruyama(), X, x0, W, (F, σ));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note the solver is quite efficient."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "400×400 Array{RGB{N0f8},2}:\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " ⋮                                               ⋱                        \n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)"
      ]
     },
     "metadata": {
      "comm_id": "9fc1f031-721b-41fd-b375-2275b3f34069",
      "reactive": true
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "",
      "text/plain": [
       "Scene scene:\n",
       "Dict{Symbol,Any} with 27 entries:\n",
       "  :screen                => name: Makie…\n",
       "  :scatter               => Scene: scatter\n",
       "  :mouse_button_released => <Node: 0>\n",
       "  :mouse_buttons_pressed => <Node: Set{Int64}()>\n",
       "  :time                  => <Node: 0.0>\n",
       "  :scroll                => <Node: [0.0, 0.0]>\n",
       "  :camera                => <Node: :auto>\n",
       "  :buttons_pressed       => <Node: Set{Int64}()>\n",
       "  :window_area           => <Node: GeometryTypes.SimpleRectangle{Int64}(0, 0, 4…\n",
       "  :theme                 => Scene: scene\n",
       "  :mouseinside           => <Node: true>\n",
       "  :mouse_button_down     => <Node: 0>\n",
       "  :mouseposition         => <Node: [0.0, 400.0]>\n",
       "  :arrow_navigation      => <Node: :nothing>\n",
       "  :key_pressed           => <Node: false>\n",
       "  :lines                 => Scene: lines\n",
       "  :mouse2id              => <Node: [-1, -1]>\n",
       "  :button_down           => <Node: 0>\n",
       "  :unicode_input         => <Node: Char[]>\n",
       "  :window_position       => <Node: [0, 0]>\n",
       "  :mouse_buttons         => <Node: (0, 0, 0)>\n",
       "  :entered_window        => <Node: false>\n",
       "  :button_released       => <Node: 0>\n",
       "  :window_open           => <Node: true>\n",
       "  :dropped_files         => <Node: String[]>\n",
       "  ⋮                      => ⋮"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Figure 3: Sample path\n",
    "\n",
    "scene = Scene(resolution = (200, 200))\n",
    "lines(X, linewidth = 0.5, color = viridis(n))\n",
    "scatter([X.yy[1]], markersize=0.09, marker = circle, color = viridis(1))\n",
    "center!(scene)\n",
    "set_perspective!(scene, perspective)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Figure 3.* Sample of the solution of the stochastic Lorenz system."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Parameter inference for the stochastic Lorenz system\n",
    "\n",
    "The likelihood for the parameter $\\theta = (s, \\rho, \\beta)$ is given by Girsanov's theorem.\n",
    "The stochastic Lorenz system is defined in `Bridge.Model` and takes a parameter triple `θ`.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "loglikelihood (generic function with 1 method)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function loglikelihood(θ, θref, X) \n",
    "    P = Lorenz(θ, SDiagonal(5.0, 5.0, 5.0))\n",
    "    Pref = Lorenz(θref, SDiagonal(5.0, 5.0, 5.0)) # Reference measure\n",
    "    girsanov(X, P, Pref)\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Choose a reference measure. We only estimate `ρ` and `β`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "θref = (10, 27.95, 2.98)\n"
     ]
    }
   ],
   "source": [
    "θref = s0, Ρ[end÷2], Β[end÷2] \n",
    "@show θref;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "S = 9.0:0.05:11.0\n",
    "Ρ = 26:0.05:30\n",
    "Β = 2.0:0.02:4.0\n",
    "llsurface = [loglikelihood((s0, ρ, β), θref, X) for ρ in Ρ, β in Β];"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "400×400 Array{RGB{N0f8},2}:\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " ⋮                                               ⋱                        \n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)"
      ]
     },
     "metadata": {
      "comm_id": "75f156be-01b2-4c3a-86c2-72665da3724e",
      "reactive": true
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "",
      "text/plain": [
       "Scene scene:\n",
       "Dict{Symbol,Any} with 29 entries:\n",
       "  :screen                => name: Makie…\n",
       "  :scatter               => Scene: scatter\n",
       "  :mouse_button_released => <Node: 0>\n",
       "  :mouse_buttons_pressed => <Node: Set{Int64}()>\n",
       "  :axis                  => Scene: axis\n",
       "  :time                  => <Node: 0.0>\n",
       "  :scroll                => <Node: [0.0, 0.0]>\n",
       "  :camera                => <Node: :auto>\n",
       "  :buttons_pressed       => <Node: Set{Int64}()>\n",
       "  :surface               => Scene: surface\n",
       "  :window_area           => <Node: GeometryTypes.SimpleRectangle{Int64}(0, 0, 4…\n",
       "  :theme                 => Scene: scene\n",
       "  :mouseinside           => <Node: true>\n",
       "  :mouse_button_down     => <Node: 0>\n",
       "  :mouseposition         => <Node: [0.0, 400.0]>\n",
       "  :arrow_navigation      => <Node: :nothing>\n",
       "  :key_pressed           => <Node: false>\n",
       "  :lines                 => Scene: lines\n",
       "  :mouse2id              => <Node: [-1, -1]>\n",
       "  :button_down           => <Node: 0>\n",
       "  :unicode_input         => <Node: Char[]>\n",
       "  :window_position       => <Node: [0, 0]>\n",
       "  :mouse_buttons         => <Node: (0, 0, 0)>\n",
       "  :entered_window        => <Node: false>\n",
       "  :button_released       => <Node: 0>\n",
       "  ⋮                      => ⋮"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Figure 4: Likelihood surface\n",
    "\n",
    "scene = Scene(resolution = (200, 200))\n",
    "llsurfaces = (llsurface - mean(llsurface))/std(llsurface)\n",
    "llsurfaces0 = llsurfaces[first(searchsorted(Ρ,ρ0)), first(searchsorted(Β,β0))]\n",
    "surface(Ρ, Β, llsurfaces, colormap = :Spectral)\n",
    "\n",
    "l = Point3f0(ρ0, β0, 0.0)\n",
    "u = Point3f0(ρ0, β0, 1.2*llsurfaces0)\n",
    "lines(Point3f0[l,(u+2l)/3, (2u+l)/3, u], linewidth=3.5, color=:darkred)\n",
    "\n",
    "i,j = ind2sub(size(llsurfaces),indmax(llsurfaces))\n",
    "scatter([Point3f0(Ρ[i],Β[j], maximum(llsurfaces))], markersize=0.1, marker = circle, color = :white)\n",
    "axis(Ρ[1]:1.0:Ρ[end], Β[1]:1.0:Β[end], minimum(llsurfaces):1.0:maximum(llsurfaces))\n",
    "center!(scene)\n",
    "set_perspective!(scene, Float32[-0.7788 0.6272 -0.0 20.1757; -0.3824 -0.4748 0.7926 13.1915; 0.4972 0.6173 0.6097 -23.9617; 0.0 0.0 0.0 1.0])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Figure 4*. (Log-) likelihood surface. A line marks the true parameter value, a circle the maximum likelihood estimate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Markov chain Monte Carlo\n",
    "\n",
    "In my work I am interested in Bayesian methods for inference for stochastic differential equations.\n",
    "To compute the posterior distribution of the parameters on naturally employes Markov Chain Monte Carlo (MCMC) methods.\n",
    "\n",
    "Julia is a very good match for MCMC computations: They are sequential and cannot be vectorized. In programming languages with slow loops this is a problem and probabilistic programming libraries are used.\n",
    "For Julia, those too exists, but we may also just stay with Julia.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  9.618450 seconds (120.96 k allocations: 4.632 MiB, 0.80% gc time)\n",
      "mean(Θ) = [11.0041, 28.0243, 2.71512]\n",
      "θ0 = [10.0, 28.0, 2.66667]\n"
     ]
    }
   ],
   "source": [
    "# MCMC sampler\n",
    "\n",
    "logπ(s, ρ, β) = 1.0\n",
    "function mcmc(X, logπ, θstart, θref; iterations = 10000)\n",
    "    θ = θstart\n",
    "    Θ = [θ]\n",
    "    ll = -Inf\n",
    "    lπ = logπ(θ...)\n",
    "    for i in 1:iterations\n",
    "        θᵒ = θ + 0.1*randn(ℝ{3})\n",
    "        lπᵒ = logπ(θᵒ...)\n",
    "        llᵒ = loglikelihood(θᵒ, θref, X)\n",
    "        if rand() < exp(llᵒ - ll + lπᵒ - lπ)\n",
    "            θ, lπ, ll = θᵒ, lπᵒ, llᵒ \n",
    "        end\n",
    "        push!(Θ, θ)\n",
    "    end\n",
    "    Θ\n",
    "end\n",
    "\n",
    "# MCMC experiment\n",
    "\n",
    "θref = S[end÷2], Ρ[end÷2], Β[end÷2] \n",
    "@time Θ = mcmc(X, logπ, ℝ{3}(9.,30.,2.0), θref; iterations = 10000)\n",
    "@show mean(Θ)\n",
    "@show θ0\n",
    ";"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "600×600 Array{RGB{N0f8},2}:\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " ⋮                                               ⋱                        \n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)  …  RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)\n",
       " RGB{N0f8}(1.0,1.0,1.0)  RGB{N0f8}(1.0,1.0,1.0)     RGB{N0f8}(1.0,1.0,1.0)"
      ]
     },
     "metadata": {
      "comm_id": "77b68592-d9dc-4303-bc21-4bcd96d57bbe",
      "reactive": true
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "",
      "text/plain": [
       "Scene scene:\n",
       "Dict{Symbol,Any} with 33 entries:\n",
       "  :screen                => name: Makie…\n",
       "  :scatter               => Scene: scatter\n",
       "  :mouse_button_released => <Node: 0>\n",
       "  :mouse_buttons_pressed => <Node: Set{Int64}()>\n",
       "  :axis                  => Scene: axis\n",
       "  :lines1                => Scene: lines\n",
       "  :time                  => <Node: 0.0>\n",
       "  :scroll                => <Node: [0.0, 0.0]>\n",
       "  :camera                => <Node: :auto>\n",
       "  :buttons_pressed       => <Node: Set{Int64}()>\n",
       "  :window_area           => <Node: GeometryTypes.SimpleRectangle{Int64}(0, 0, 6…\n",
       "  :theme                 => Scene: scene\n",
       "  :mouseinside           => <Node: true>\n",
       "  :lines2                => Scene: lines\n",
       "  :scatter2              => Scene: scatter\n",
       "  :mouse_button_down     => <Node: 0>\n",
       "  :mouseposition         => <Node: [0.0, 400.0]>\n",
       "  :arrow_navigation      => <Node: :nothing>\n",
       "  :key_pressed           => <Node: false>\n",
       "  :lines                 => Scene: lines\n",
       "  :mouse2id              => <Node: [-1, -1]>\n",
       "  :button_down           => <Node: 0>\n",
       "  :unicode_input         => <Node: Char[]>\n",
       "  :window_position       => <Node: [0, 0]>\n",
       "  :mouse_buttons         => <Node: (0, 0, 0)>\n",
       "  ⋮                      => ⋮"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Figure 5: Traceplot\n",
    "\n",
    "scene = Scene(resolution = (300, 300))\n",
    "Θs = [Point3f0(Θ[i]+0.01randn(ℝ{3})) for i in 1:1:1000] # subsample\n",
    "scatter(Θs, markersize=0.02, marker = circle, color=RGBA(0.0, 0.0, 0.5, 0.3) )\n",
    "lines(Θs, linewidth=0.5, color=RGBA(0.0, 0.0, 0.5, 0.3) )\n",
    "#lines(Θ[end-10000:10:end], linewidth=0.2, color=:black)\n",
    "\n",
    "for i in 1:3\n",
    "    p = ℝ{3}(ntuple(n->n!=i,3))\n",
    "    lines([Θs[i].*p .+ ℝ{3}(S[1],Ρ[1],Β[1]).*(1 .- p) for i in 1:length(Θs)], \n",
    "        linewidth=0.4, color=RGB(0.6,0.7,0.8) )\n",
    "end\n",
    "scatter([ℝ{3}(s0, ρ0, β0)], markersize=0.1, marker = '+', color = :darkred)\n",
    "Ps = [ℝ{3}(ntuple(n->n!=i,3)) for i in 1:3]\n",
    "scatter([ℝ{3}(s0, ρ0, β0).*p  .+ ℝ{3}(S[1],Ρ[1],Β[1]).*(1 .- p) for p in Ps], \n",
    "    markersize=0.08, marker = '+', color = RGB(0.8,0.5,0.5))\n",
    "axis(8.0:1.0:12.0, Ρ[1]:1.0:Ρ[end], Β[1]:1.0:Β[end])\n",
    "\n",
    "\n",
    "center!(scene)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Figure 5.* Samples of the MCMC chain for the posterior distribution (black) and true value (red). Projections on the $s$-$\\rho$-plane, the $\\rho$-$\\beta$-plane and the $\\beta$-$s$-plane in gray, gray-red."
   ]
  }
 ],
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